期刊文献+
共找到102篇文章
< 1 2 6 >
每页显示 20 50 100
MULTI-VALUED TOTALLY QUASI-φ-ASYMPTOTICALLY NONEXPANSIVE SEMI-GROUPS AND STRONG CONVERGENCE THEOREMS IN BANACH SPACES
1
作者 张石生 王林 赵云河 《Acta Mathematica Scientia》 SCIE CSCD 2013年第2期589-599,共11页
The purpose of this article is first to introduce the concept of multi-valued to- tally Quasi-φ-asymptotically nonexpansive semi-groups, which contains many kinds of semi- groups as its special cases, and then to mod... The purpose of this article is first to introduce the concept of multi-valued to- tally Quasi-φ-asymptotically nonexpansive semi-groups, which contains many kinds of semi- groups as its special cases, and then to modify the Halpern-Mann-type iteration algorithm for multi-valued totally Quasi-cS-asymptotically nonexpansive semi-groups to have the strong convergence under a limit condition only in the framework of Banach spaces. The results presented in this article improve and extend the corresponding results announced by many authors recently. 展开更多
关键词 Multi-valued totally Quasi-q^-asymptotically nonexpansive semi-groups mod-ified Halpern-Mann-type iteration multi-valued quasi-qS-symptotically nonex-pansive semi-groups multi-valued quasi-~b-nonexpansive semi-groups multi-valued relatively nonexpansive semi-groups generalized projection
下载PDF
Approximation of the Nearest Common Fixed Point of Asymptotically Nonexpansive Mappings in Banach Spaces
2
作者 WANG XIONG-RUI 《Communications in Mathematical Research》 CSCD 2011年第4期369-377,共9页
In this paper, the iteration xn+l =αny + (1 -αn)Ti(n)k(n)xn for a family of asymptotically nonexpansive mappings T1, T2, ..., TN is originally introduced in an uniformly convex Banach space. Motivated by rec... In this paper, the iteration xn+l =αny + (1 -αn)Ti(n)k(n)xn for a family of asymptotically nonexpansive mappings T1, T2, ..., TN is originally introduced in an uniformly convex Banach space. Motivated by recent papers, we prove that under suitable conditions the iteration scheme converges strongly to the nearest common fixed point of the family of asymptotically nonexpansive mappings. The results presented in this paper expand and improve correponding ones from Hilbert spaces to uniformly convex Banach spaces, or from nonexpansive mappings to asymptotically nonexpansive mappings. 展开更多
关键词 asymptotically nonexpansive mapping sunny nonexpansive retraction uniformly Ggteaux differentiable eeakly sequentially continuous duality
下载PDF
ITERATIVE APPROXIMATION OF FIXED POINTS OF (ASYMPTOTICALLY) NONEXPANSIVE MAPPINGS 被引量:8
3
作者 Zeng LuchuanDept. of Math.,Shanghai Normal Univ.,Shanghai 200234. 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2001年第4期402-408,共7页
Let E be a uniformly convex Banach space which satisfies Opial's condition or has a Frechet differentiable norm,and C be a bounded closed convex subset of E. If T∶C→C is (asymptotically)nonexpans... Let E be a uniformly convex Banach space which satisfies Opial's condition or has a Frechet differentiable norm,and C be a bounded closed convex subset of E. If T∶C→C is (asymptotically)nonexpansive,then the modified Ishikawa iteration process defined byx n+1 =t nT ns nT nx n+1-s nx n+(1-t n)x n,converges weakly to a fixed point of T ,where {t n} and {s n} are sequences in [0,1] with some restrictions. 展开更多
关键词 Fixed point (asymptotically)nonexpansive mapping modified Ishikawa iteration process Frechet differentiable norm Opial condition.
下载PDF
Iterative convergence theorems for maximal monotone operators and relatively nonexpansive mappings 被引量:5
4
作者 WEI Li SU Yong-fu ZHOU Hai-yun 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2008年第3期319-325,共7页
In this paper, some iterative schemes for approximating the common element of the set of zero points of maximal monotone operators and the set of fixed points of relatively nonexpansive mappings in a real uniformly sm... In this paper, some iterative schemes for approximating the common element of the set of zero points of maximal monotone operators and the set of fixed points of relatively nonexpansive mappings in a real uniformly smooth and uniformly convex Banach space are proposed. Some strong convergence theorems are obtained, to extend the previous work. 展开更多
关键词 maximal monotone operator relatively nonexpansive mapping strong convergence zero point fixed point
下载PDF
VISCOSITY ITERATIVE METHODS FOR COMMON FIXED POINTS OF TWO NONEXPANSIVE MAPPINGS WITHOUT COMMUTATIVITY ASSUMPTION IN HILBERT SPACES 被引量:2
5
作者 Eknarin Jankaew Somyot Plubtieng Anutep Tepphun 《Acta Mathematica Scientia》 SCIE CSCD 2011年第2期716-726,共11页
In this article, we introduce a new viscosity iterative method for two nonexpansive mappings in Hilbert spaces. We also prove, without commutativity assumption, that the iterates converge to a common fixed point of th... In this article, we introduce a new viscosity iterative method for two nonexpansive mappings in Hilbert spaces. We also prove, without commutativity assumption, that the iterates converge to a common fixed point of the mappings which solves some variational inequality. The results presented extend the corresponding results of Shimizu and Takahashi IT. Shimizu, W. Takahashi, Strong convergence to common fixed point of families of nonexpansive mappings, J. Math. Anal. Appl. 211 (1997), 71-83], and Yao and Chen [Y. Yao, R. Chert, Convergence to common fixed points of average mappings without commutativity assumption in Hilbert spaces, Nonlinear Analysis 67(2007), 1758-1763]. 展开更多
关键词 Viscosity iterative method common fixed points nonexpansive mappings variational inequality
下载PDF
Strong convergence theorems for nonexpansive semi-groups in Banach spaces 被引量:2
6
作者 张石生 杨莉 柳京爱 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2007年第10期1287-1297,共11页
Some strong convergence theorems of explicit composite iteration scheme for nonexpansive semi-groups in the framework of Banach spaces are established. Results presented in the paper not only extend and improve the co... Some strong convergence theorems of explicit composite iteration scheme for nonexpansive semi-groups in the framework of Banach spaces are established. Results presented in the paper not only extend and improve the corresponding results of ShiojiTakahashi, Suzuki, Xu and Aleyner-Reich, but also give a partially affirmative answer to the open questions raised by Suzuki and Xu. 展开更多
关键词 nonexpansive semi-group demi-closed principle common fixed point uni-formly smooth Banach space weakly continuous normalized duality mapping
下载PDF
STRONG CONVERGENCE OF APPROXIMATED SEQUENCES FOR NONEXPANSIVE MAPPINGS IN BANACH SPACES 被引量:2
7
作者 Huang Jianfeng Wang Yuanheng 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2007年第3期311-315,共5页
This paper studies the convergence of the sequence defined by x0 ∈ C, xn+l =αnu+(1-αn)Txn, n=0, 1,2,..., where 0 ≤αn ≤ 1, limn→∞ αn = 0, ∑n=0^∞ αn = ∞, and T is a nonexpansive mapping from a nonempty... This paper studies the convergence of the sequence defined by x0 ∈ C, xn+l =αnu+(1-αn)Txn, n=0, 1,2,..., where 0 ≤αn ≤ 1, limn→∞ αn = 0, ∑n=0^∞ αn = ∞, and T is a nonexpansive mapping from a nonempty closed convex subset C of a Banach space X into itself. The iterative sequence {xn} converges strongly to a fixed point of T in the case when X is a uniformly convex Banach space with a uniformly Gateaux differentiable norm or a uniformly smooth Banach space only. The results presented in this paper extend and improve some recent results. 展开更多
关键词 nonexpansive mapping uniformly convex Banach space uniformly smooth Banach space Banach limit.
下载PDF
GENERAL SPLIT FEASIBILITY PROBLEMS FOR TWO FAMILIES OF NONEXPANSIVE MAPPINGS IN HILBERT SPACES 被引量:1
8
作者 唐金芳 张石生 刘敏 《Acta Mathematica Scientia》 SCIE CSCD 2016年第2期602-613,共12页
The purpose of this article is to introduce a general split feasibility problems for two families of nonexpansive mappings in Hilbert spaces. We prove that the sequence generated by the proposed new algorithm converge... The purpose of this article is to introduce a general split feasibility problems for two families of nonexpansive mappings in Hilbert spaces. We prove that the sequence generated by the proposed new algorithm converges strongly to a solution of the general split feasibility problem. Our results extend and improve some recent known results. 展开更多
关键词 General split feasibility problems nonexpansive mappings Hilbert space strong convergence
下载PDF
ASYMPTOTIC BEHAVIOR FOR COMMUTATIVE SEMIGROUPS OF ALMOST ASYMPTOTICALLY NONEXPANSIVE TYPE MAPPINGS 被引量:1
9
作者 曾六川 《Acta Mathematica Scientia》 SCIE CSCD 2006年第2期246-254,共9页
This article introduces the concept of commutative semigroups of almost asymptotically nonexpansive-type mappings in a Banach space X which has the Opial property and whose norm is UKK, and establishes the weak conver... This article introduces the concept of commutative semigroups of almost asymptotically nonexpansive-type mappings in a Banach space X which has the Opial property and whose norm is UKK, and establishes the weak convergence theorems for almostorbits of this class of commutative semigroups. The author improves, extends and develops some recent and earlier results. 展开更多
关键词 Semitopological semigroup almost asymptotically nonexpansive type mapping almost orbit asymptotic behavior
下载PDF
Fixed Point of a Countable Family of Uniformly Totally Quasi- <i>&Oslash</i>-Asymptotically Nonexpansive Multi-Valued Mappings in Reflexive Banach Spaces with Applications 被引量:1
10
作者 Yi Li 《Applied Mathematics》 2013年第9期6-12,共7页
The purpose of this article is to discuss a modified Halpern-type iteration algorithm for a countable family of uniformly totally quasi- ? -asymptotically nonexpansive multi-valued mappings and establish some strong c... The purpose of this article is to discuss a modified Halpern-type iteration algorithm for a countable family of uniformly totally quasi- ? -asymptotically nonexpansive multi-valued mappings and establish some strong convergence theorems under certain conditions. We utilize the theorems to study a modified Halpern-type iterative algorithm for a system of equilibrium problems. The results improve and extend the corresponding results of Chang et al. (Applied Mathematics and Computation, 218, 6489-6497). 展开更多
关键词 MULTI-VALUED Mapping Totally Quasi- Ø -Asymptotically nonexpansive Countable FAMILY of UNIFORMLY Totally Quasi- Ø -Asymptotically nonexpansive MULTI-VALUED Mappings Firmly Convergence
下载PDF
Strong Convergence for a Countable Family of Total Quasi-φ-asymptotically Nonexpansive Nonself Mappings in Banach Space 被引量:1
11
作者 WANG XIONG-RUI QUAN JING Ji You-qing 《Communications in Mathematical Research》 CSCD 2015年第1期31-39,共9页
The purpose of this article is to introduce a class of total quasi-Ф- asymptotically nonexpansive nonself mappings. Strong convergence theorems for common fixed points of a countable family of total quasi-Ф-asymptot... The purpose of this article is to introduce a class of total quasi-Ф- asymptotically nonexpansive nonself mappings. Strong convergence theorems for common fixed points of a countable family of total quasi-Ф-asymptotically nonexpan- sive mappings are established in the framework of Banach spaces based on modified Halpern and Mann-type iteration algorithm. The main results presented in this article extend and improve the corresponding results of many authors. 展开更多
关键词 strong convergence total quasi-Ф-asymptoticaily nonexpansive nonself generalized projection
下载PDF
An Iterative Algorithm for Generalized Mixed Equilibrium Problems and Fixed Points of Nonexpansive Semigroups 被引量:1
12
作者 Jong Kyu Kim Salahud din Won Hee Won Hee 《Journal of Applied Mathematics and Physics》 2017年第2期276-293,共18页
In this works, by using the modified viscosity approximation method associated with Meir-Keeler contractions, we proved the convergence theorem for solving the fixed point problem of a nonexpansive semigroup and gener... In this works, by using the modified viscosity approximation method associated with Meir-Keeler contractions, we proved the convergence theorem for solving the fixed point problem of a nonexpansive semigroup and generalized mixed equilibrium problems in Hilbert spaces. 展开更多
关键词 Meir-Keeler Contraction MAPPINGS Left Regular Generalized Mixed Equilibrium Problems Variational INEQUALITIES α-Inverse Strongly MONOTONE MAPPINGS nonexpansive SEMIGROUPS
下载PDF
Strong convergence theorem for relatively nonexpansive mapping and inverse-strongly-monotone mapping in a Banach space
13
作者 刘英 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2009年第7期925-932,共8页
In this paper, we introduce an iterative sequence for finding a common element of the set of fixed points of a relatively nonexpansive mapping and the set of solutions of the variational inequality for an inverse-stro... In this paper, we introduce an iterative sequence for finding a common element of the set of fixed points of a relatively nonexpansive mapping and the set of solutions of the variational inequality for an inverse-strongly-monotone mapping in a Banach space. Then, we show that the sequence converges strongly to a common element of the two sets. Our results improve and extend the corresponding results reported by many others. 展开更多
关键词 relatively nonexpansive mapping generalized projection inverse-strongly-monotone variational inequality p-uniformly convex
下载PDF
Weak and strong convergence of an explicit iteration scheme with perturbed mapping for nonexpansive mappings
14
作者 WANG Ya-qin 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2007年第12期2032-2036,共5页
In this paper, we consider an explicit iteration scheme with perturbed mapping for nonexpansive mappings in real q-uniformly smooth Banach spaces. Some weak and strong convergence theorems for this explicit iteration ... In this paper, we consider an explicit iteration scheme with perturbed mapping for nonexpansive mappings in real q-uniformly smooth Banach spaces. Some weak and strong convergence theorems for this explicit iteration scheme are established. In particular, necessary and sufficient conditions for strong convergence of this explicit iteration scheme are obtained. At last, some useful corollaries for strong convergence of this explicit iteration scheme are given. 展开更多
关键词 nonexpansive mapping Iteration scheme with perturbed mapping Opial condition Completely continuous
下载PDF
ON THE PROBLEM OF DISSIPATIVE PERTURBATIONS OF NONEXPANSIVE MAPPINGS
15
作者 LUO Yuan-song(罗元松) 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2001年第4期478-482,共5页
Some Fixed point theorems for mappings of the type - A + T are established, where P is a cone in a Hilbert space, A: P --> 2(P) is an accretive mappings and T: P --> P is a nonexpansive mappings. In application,... Some Fixed point theorems for mappings of the type - A + T are established, where P is a cone in a Hilbert space, A: P --> 2(P) is an accretive mappings and T: P --> P is a nonexpansive mappings. In application, the results presented in the paper are used to study the existence problem of solutions far a class of nonlinear integral equations in L-2 (Omega). 展开更多
关键词 nonexpansive mapping accretive mapping fixed point theorem nonlinear integral equation
下载PDF
STRONG CONVERGENCE THEOREMS FOR EQUILIBRIUM PROBLEM AND BREGMAN TOTALLY QUASI-ASYMPTOTICALLY NONEXPANSIVE MAPPING IN BANACH SPACES
16
作者 朱胜 黄建华 《Acta Mathematica Scientia》 SCIE CSCD 2016年第5期1433-1444,共12页
In this paper, we propose a new hybrid iterative scheme for finding a common solution of an equilibrium problem and fixed point of Bregman totally quasi-asymptotically nonexpansive mapping in reflexive Banach spaces. ... In this paper, we propose a new hybrid iterative scheme for finding a common solution of an equilibrium problem and fixed point of Bregman totally quasi-asymptotically nonexpansive mapping in reflexive Banach spaces. Moreover, we prove some strong convergence theorems under suitable control conditions. Finally, the application to zero point problem of maximal monotone operators is given by the result. 展开更多
关键词 equilibrium problem Bregman totally quasi-asymptotically nonexpansive mapping Bregman distance reflexive Banach space
下载PDF
CONVERGENCE ANALYSIS FOR SYSTEM OF EQUILIBRIUM PROBLEMS AND LEFT BREGMAN STRONGLY RELATIVELY NONEXPANSIVE MAPPING
17
作者 Yekini SHEHU 《Acta Mathematica Scientia》 SCIE CSCD 2014年第4期1081-1097,共17页
In this paper, we prove strong convergence theorems for approximation of a fixed point of a left Bregman strongly relatively nonexpansive mapping which is also a solution to a finite system of equilibrium problems in ... In this paper, we prove strong convergence theorems for approximation of a fixed point of a left Bregman strongly relatively nonexpansive mapping which is also a solution to a finite system of equilibrium problems in the framework of reflexive real Banach spaces. We also discuss the approximation of a common fixed point of a family of left Bregman strongly nonexpansive mappings which is also solution to a finite system of equilibrium problems in reflexive real Banach spaces. Our results complement many known recent results in the literature. 展开更多
关键词 left Bregman strongly relatively nonexpansive mapping left Bregman projection equilibrium problem Banach spaces
下载PDF
ON PROBLEM OF NEAREST COMMON FIXED POINT OF NONEXPANSIVE MAPPINGS
18
作者 张石生 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2006年第7期883-889,共7页
The purpose is by using the viscosity approximation method to study the convergence problem of the iterative scheme for an infinite family of nonexpansive mappings and a given contractive mapping in a reflexive Banach... The purpose is by using the viscosity approximation method to study the convergence problem of the iterative scheme for an infinite family of nonexpansive mappings and a given contractive mapping in a reflexive Banach space. Under suitable conditions, it was proved that the iterative sequence converges strongly to a common fixed point which was also the unique solution of some variational inequality in a reflexive Banach space. The results presented extend and improve some recent results. 展开更多
关键词 sequence of nonexpansive mappings viscosity approximation common fixed point demi-closed principle weakly sequentially continuous duality mapping normalized duality mapping
下载PDF
ALGORITHMS FOR A SYSTEM OF GENERALIZED MIXED EQUILIBRIUM PROBLEMS AND A COUNTABLE FAMILY OF SOME NONLINEAR MULTI-VALUED NONEXPANSIVE-TYPE MAPS
19
作者 Ogonnaya Michael ROMANUS Ukamaka Victoria NNYABA Monday Ogudu NNAKWE 《Acta Mathematica Scientia》 SCIE CSCD 2018年第6期1805-1820,共16页
In this paper, relaxed iterative algorithms of Krasnoselskii-type and Halpern-type that approximate a solution of a system of a generalized mixed equilibrium problem anda common fixed point of a countable family of to... In this paper, relaxed iterative algorithms of Krasnoselskii-type and Halpern-type that approximate a solution of a system of a generalized mixed equilibrium problem anda common fixed point of a countable family of totally quasi-C-asymptotically nonexpansivemulti-valued maps are constructed. Strong convergence of the sequence generated by thesealgorithms is proved in uniformly smooth and strictly convex real Banach spaces with Kadec-Klee property. Furthermore, several applications of our theorems are also presented. Finally,our theorems are significant improvements on several important recent results for this classof nonlinear problems. 展开更多
关键词 Halpern-type algorithm Krasnoselskii-type algorithm system of generalizedmixed equilibrium problems totally quasi-C-asymptotically nonexpansive multi-valued maps equally continuous maps
下载PDF
A one-step implicit iterative method for two finite families of asymptotically nonexpansive mappings in a hyperbolic space
20
作者 Hafiz Fukhar-ud-din Amna Kalsoom Safeer H Khan 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2018年第3期274-286,共13页
We introduce a one-step implicit iterative method for two finite families of asymptotically nonexpansive mappings in a hyperbolic space and use it to approximate common fixed points of these families. The results pres... We introduce a one-step implicit iterative method for two finite families of asymptotically nonexpansive mappings in a hyperbolic space and use it to approximate common fixed points of these families. The results presented in this paper are new in the setting of hyperbolic spaces. On top, these are generalizations of several results in literature from Banach spaces to hyperbolic spaces. At the end of the paper, we give an example to validate our results. 展开更多
关键词 uniformly convex hyperbolic space asymptotically nonexpansive mapping common fixed point strong convergence
下载PDF
上一页 1 2 6 下一页 到第
使用帮助 返回顶部