期刊文献+
共找到308篇文章
< 1 2 16 >
每页显示 20 50 100
SOME CONVERGENCE PROBLEM OF ITERATIVE SEQUENCESFOR ACCRETIVE AND PSEUDO-CONTRACTIVETYPE MAPPING IN BANACH SPACES
1
作者 ZHANG Shi-sheng(张石生) 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2002年第4期394-408,共15页
Some necessary and sufficient conditions for convergence of Ishikawa Mann and steepest descent iterative sequence for accretive and pseudo-contractive type mapping in Banach spaces were obtained. The results improve, ... Some necessary and sufficient conditions for convergence of Ishikawa Mann and steepest descent iterative sequence for accretive and pseudo-contractive type mapping in Banach spaces were obtained. The results improve, extend and include some recent results. 展开更多
关键词 accretive mapping pseudo-contractive mapping hemi-accretive mapping hemi-pseudo-contractive mapping Ishikawa iterative sequence Mann iterative sequence steepest descent sequence
下载PDF
ON THE EXISTENCE OF SOLUTIONS FOR EQUATIONS WITH ACCRETIVE MAPPINGS IN PROBABILISTIC NORMED SPACES
2
作者 张石生 陈玉清 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1990年第9期821-828,共8页
The purpose of this paper is to introduce the concept of accretive mapping in probabilistic normed space (PN space, in short) and to study the existence problem of solutions for equations with accretive mappings in PN... The purpose of this paper is to introduce the concept of accretive mapping in probabilistic normed space (PN space, in short) and to study the existence problem of solutions for equations with accretive mappings in PN space and some existence theorems are shown. 展开更多
关键词 accretive mapping probabilistic normed space pseudo-contractive mapping
下载PDF
EXISTENCE AND APPROXIMATION OF SOLUTIONS TO VARIATIONAL INCLUSIONS WITH ACCRETIVE MAPPINGS IN BANACH SPACES
3
作者 张石生 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2001年第9期997-1003,共7页
The purpose of this paper is to study the existence and approximation problem of solutions for a class of variational inclusions with accretive mappings in Banach spaces. The results extend and improve some recent res... The purpose of this paper is to study the existence and approximation problem of solutions for a class of variational inclusions with accretive mappings in Banach spaces. The results extend and improve some recent results. 展开更多
关键词 variational inclusion accretive mapping Mann(Ishikawa) iterative sequence with errors
下载PDF
Iterative Approximation with Errors for Generalized Set-Valued Strongly Accretive Mapping in Banach Spaces
4
作者 张勇 《Journal of Southwest Jiaotong University(English Edition)》 2007年第1期70-74,共5页
A new concept of generalized set-valued strongly accretive mappings in Banach spaces was given and some strong convergence theorems of Ishikawa and Mann iterative process with errors approximation methods by Huang et ... A new concept of generalized set-valued strongly accretive mappings in Banach spaces was given and some strong convergence theorems of Ishikawa and Mann iterative process with errors approximation methods by Huang et al. was proved. The results presented in this paper improve and extend the earlier results obtained by Huang et al. 展开更多
关键词 Generalized set-valued strongly accretive mappings Ishikawa and Mann iterative processes with errors q-Uniformly Smooth Banach spaces Generalized duality mapping
下载PDF
Convergence Theorems of Mann and Ishikawa Iterative Processes with Errors for Multivalued Φ-strongly Accretive Mapping
5
作者 张国伟 《Northeastern Mathematical Journal》 CSCD 2003年第2期174-180,共7页
Let X be a real Banach space and A : X→ 2x a bounded uniformly continuous Φ-strongly accretive multivalued mapping. For any f ∈ X, Mann and Ishikawa iterative processes with errors converge strongly to the unique s... Let X be a real Banach space and A : X→ 2x a bounded uniformly continuous Φ-strongly accretive multivalued mapping. For any f ∈ X, Mann and Ishikawa iterative processes with errors converge strongly to the unique solution of Ax (?) f. The conclusion in this paper weakens the stronger conditions about errors in Chidume and Moore's theorem (J. Math. Anal. Appl, 245(2000), 142-160). 展开更多
关键词 Mann and Ishikawa iteration Φ-strongly accretive mapping conver-gence theorem
下载PDF
ON THE CONVERGENCE PROBLEMS OF ISHIKAWA AND MANN ITERATIVE PROCESSES WITH ERROR FOR Φ-PSEUDO CONTRACTIVE TYPE MAPPINGS 被引量:1
6
作者 张石生 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2000年第1期3-14,共12页
The purpose of this paper is to introduce the concept of Φ_pseudo contractive type mapping and to study the convergence problem of Ishikawa and Mann iterative processes with error for this kind of mappings. The resul... The purpose of this paper is to introduce the concept of Φ_pseudo contractive type mapping and to study the convergence problem of Ishikawa and Mann iterative processes with error for this kind of mappings. The results presented in this paper improve and extend many authors'recent results. 展开更多
关键词 Φ-pseudo contractive type mapping accretive mapping pseudo_contractive mapping Φ_strongly accretive mapping Φ_hemi_contractive mapping Ishikawa iterative processes with error Mann iterative process with error
下载PDF
AN ITERATIVE PROCESS FOR FINDING APPROXIMATE SOLUTIONS TO NONLINEAR EQUATIONS OF STRONGLY ACCRETIVE OPERATORS 被引量:3
7
作者 曾六川 《Numerical Mathematics A Journal of Chinese Universities(English Series)》 SCIE 1997年第2期132-141,共10页
In this paper, we investigate the Ishikawa iteration process in a p-uniformly smooth Banach space X. We prove that the Ishikawa iteration process converges strongly to the unique solution of the equation Tx=f when T i... In this paper, we investigate the Ishikawa iteration process in a p-uniformly smooth Banach space X. We prove that the Ishikawa iteration process converges strongly to the unique solution of the equation Tx=f when T is a Lipschitzian and strongly accretive operator frow X to X, or to the unique fixed point of T when T is a Lipschitzian and strictly pseudocontractive mapping from a nonempty closed convex subset K of X into itself. Our results are the extension and improvements of the earlier and recent results in this field. 展开更多
关键词 strongly accretive operators STRICTLY pseudocontractive mapping. p-vniformly SMOOTH BANACH space.
下载PDF
ITERATIVE SOLUTION OF NONLINEAR EQUATIONS WITH STRONGLY ACCRETIVE OPERATORS IN BANACH SPACES 被引量:1
8
作者 周海云 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1999年第3期282-289,共8页
Let X be a real Banach space with a uniformly convex dual X*. Let T: X a X be a Lipschitzian and strongly accretive mapping with a Lipschitzian constant L greater than or equal to 1 and a strongly accretive constant k... Let X be a real Banach space with a uniformly convex dual X*. Let T: X a X be a Lipschitzian and strongly accretive mapping with a Lipschitzian constant L greater than or equal to 1 and a strongly accretive constant k epsilon (0,1). Let {alpha(n)} and {beta(n)} be two real sequences in [0,1] satisfying: (i) alpha(n) --> 0 as n --> infinity (ii) beta(n) < k(1 - k)/L(1 + L), for all n greater than or equal to 0; (iii) Pi(infinity) alpha(n) = infinity Set Sx = f - Tx + x, For All x epsilon X. Assume that {u(n)}(n=0)(infinity) and {v(n)}(n=0)(infinity) be two sequences in X satisfying parallel to u(n) parallel to = o(alpha(n)) and nu(n) --> 0 as n --> infinity. For arbitrary x(0) epsilon X, the iteration sequence {x(n)} is defined by (IS)(I) {x(n+1) = (1 - alpha(n))x(n) + alpha(n)Sy(n) + u(n), {y(n) = (1 - beta(n)) x(n) + beta(n)Sx(n) + v(n) (n greater than or equal to 0) then {x(n)} converges strongly to the unique solution of the equation Tx = f. related result deals with iterative approximation of fixed points of phi-hemicontractive mappings. 展开更多
关键词 Ishikawa iteration with errors strongly accretive mapping phi-hemicontractive mapping
下载PDF
1-set-contractive perturbations of accretive operators in Menger PN-spaces 被引量:1
9
作者 WU Zhao-qi ZHU Chuan-xi 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2012年第3期363-370,共8页
Based on the topological degree for 1-set-contractive fields established in [11], we discuss the 1-set-contractive perturbation and the existence of zero points for nonlinear equations with accretive mappings in Menge... Based on the topological degree for 1-set-contractive fields established in [11], we discuss the 1-set-contractive perturbation and the existence of zero points for nonlinear equations with accretive mappings in Menger PN-spaces and obtain some new results. 展开更多
关键词 topological degree 1-set-contractive perturbation accretive mapping.
下载PDF
ITERATIVE APPROXIMATIONS OF φ-HEMICONTRACTIVEMAPPINGS WITHOUT LIPSCHITZ ASSUMPTION
10
作者 黄震宇 《Numerical Mathematics A Journal of Chinese Universities(English Series)》 SCIE 2000年第2期193-203,共11页
Letq>1,and let E be a real q-uniformly smooth Banach space. Let T: E→E be a continuous φstrongly accretive operator.For a given f E,let x*denote the unique solution of the equation Tx=f.Define the operator H:E→E... Letq>1,and let E be a real q-uniformly smooth Banach space. Let T: E→E be a continuous φstrongly accretive operator.For a given f E,let x*denote the unique solution of the equation Tx=f.Define the operator H:E→E by Hx=f+x-Tx,and suppose that the range of H is bounded. for any x1 E let {xn}∞n=qin E be the Ishikawa iterative process defined by Under suitable comditions,the Ishikawa iterative process strongly converges to the unique solution of Tx=f.the related result deals with the problems that Ishikawa iterative process strongly converges to the unique fixed point of -hemicontractive mappings.These results generalize results of Osilike [2],Chidume[4,5]and Tan[10],Zeng[11]and several other results from the class of strongly assertive operators and the class of strongly pseudocontractive operators to the much more general class of -trongly accrtive and class of -hemicontractive maps. 展开更多
关键词 ISHIKAWA iteration process -hemicontractive mappingS -strongly accretive q-uni- formly smooth BANACH spaces
下载PDF
ON THE PROBLEM OF DISSIPATIVE PERTURBATIONS OF NONEXPANSIVE MAPPINGS
11
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
ITERATIVE PROCESS FOR CERTAIN NONLINEAR MAPPINGS WITH LIPSCHITZ CONDITION
12
作者 GU Feng(谷峰) 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2001年第12期1458-1467,共10页
Using the new analysis techniques, the problem of iterative approximation of solutions of the equation for Lipschitz phi-strongly accretive operators and of fixed points for Lipschitz phi-strongly pseudo-contractive m... Using the new analysis techniques, the problem of iterative approximation of solutions of the equation for Lipschitz phi-strongly accretive operators and of fixed points for Lipschitz phi-strongly pseudo-contractive mappings are discussed. The main results of this paper improve and extend the corresponding results obtained by Chang, Chidume, Deng, Ding, Tan-Xu and Osilike. 展开更多
关键词 phi-strongly accretive operator phi-strongly pseudo-contractive mapping Ishikawa iterative sequence Mann iterative sequence
下载PDF
Iterative Approximation of Fixed Points for Uniformly Continuous and Strongly Pseudocontractive Mappings in Smooth Banach Spaces
13
作者 周海云 《Chinese Quarterly Journal of Mathematics》 CSCD 1999年第2期42-46, ,共5页
With an inequality and some analysis techniques,iterative approximation of fixed points for uniformly continuous and strongly pseudocontractive mappings in smooth Banach spaces is studied,and the recent corresponding ... With an inequality and some analysis techniques,iterative approximation of fixed points for uniformly continuous and strongly pseudocontractive mappings in smooth Banach spaces is studied,and the recent corresponding results of Chidume are improved. 展开更多
关键词 Ishikawa iteration process strong pseudocontraction strongly accretive mapping smooth Banach space
下载PDF
Approximative Method of Fixed Point for Φ-Pseudocontractive Operator and an Application to Equation with Accretive Operator
14
作者 Yixin Wen Aifang Feng Yuguang Xu 《Journal of Applied Mathematics and Physics》 2014年第1期21-25,共5页
In this paper, Φ-pseudo-contractive operators and Φ-accretive operators, more general than the strongly pseudo-contractive operators and strongly accretive operators, are introduced. By setting up a new inequality, ... In this paper, Φ-pseudo-contractive operators and Φ-accretive operators, more general than the strongly pseudo-contractive operators and strongly accretive operators, are introduced. By setting up a new inequality, authors proved that if ?is a uniformly continuous Φ-pseudo-contractive operator then T has unique fixed point q and the Mann iterative sequence with random errors approximates to q. As an application, the iterative solution of nonlinear equation with Φ-accretive operator is obtained. The results presented in this paper improve and generalize some corresponding results in recent literature. 展开更多
关键词 DUALITY mapping Φ-Pseudo-Contractive OPERATOR Φ-accretive OPERATOR MANN ITERATIVE Sequence with Random Error Terms
下载PDF
Estimating and Mapping Extreme Ice Accretion Hazard and Load Due to Freezing Rain at Canadian Sites
15
作者 Chao Sheng Qian Tang H.P.Hong 《International Journal of Disaster Risk Science》 SCIE CSCD 2023年第1期127-142,共16页
The ice accretion load in Canadian structural design codes is developed based on an operational ice accretion prediction model.In the present study,three models are employed to predict the ice accretion amount on a fl... The ice accretion load in Canadian structural design codes is developed based on an operational ice accretion prediction model.In the present study,three models are employed to predict the ice accretion amount on a flat surface and horizontal wire at Canadian sites.The results confirm that the model used by Canadian practice for predicting ice accretion leads to a conservative estimate as compared to the remaining two models.The results also indicate that the use of the Gumbel distribution for the annual maximum ice accretion is adequate for regions prone to ice accretion and that the lognormal distribution may be considered for regions with a moderate or negligible amount of ice accretion.Maps of the ice accretion hazard at five selected Canadian sites are developed.Statistical analysis of an equivalent wind speed that is concurrent with the iced wire is carried out,showing that the concurrent wind speed for the 50-year return period value of the annual maximum ice accretion amount is smaller than the 50-year return period value of the annual maximum wind speed.It is shown that the statistical characteristics of the annual maximum concurrent wind speed on iced wire differ from that of the annual maximum wind speed. 展开更多
关键词 CANADA Concurrent wind speed Hazard mapping Ice accretion Probabilistic analysis
原文传递
The Applications of Perturbations on Accretive Mappings to Nonlinear Elliptic Systems Related to Generalized(p,q)-Laplacian
16
作者 Li WEI Hai Yun ZHOU 《Journal of Mathematical Research and Exposition》 CSCD 2010年第5期909-919,共11页
Using perturbation results on the sums of ranges of nonlinear accretive mappings of Calvert and Gupta, we present some abstract results for the existence of the solutions of nonlinear Neumann elliptic systems which is... Using perturbation results on the sums of ranges of nonlinear accretive mappings of Calvert and Gupta, we present some abstract results for the existence of the solutions of nonlinear Neumann elliptic systems which is related to the so-called generalized (p, q)-Laplacian in this paper. The systems discussed in this paper and the method used extend and complement some of the previous work. 展开更多
关键词 accretive mapping generalized (p q)-Laplacian nonlinear elliptic systems.
下载PDF
Banach空间中φ-强增生型变分包含问题解的Ishikawa迭代逼近 被引量:24
17
作者 张石生 谷峰 崔伟业 《应用数学》 CSCD 2000年第2期1-8,共8页
本文引入和研究 Banach空间中φ-强增生型变分包含解的存在性、唯一性及Ishikawa迭代过程收敛问题 ,所得结果改进和推广了 [2 ,3,5 - 9,1 2 - 1 4]等相关结果 .
关键词 变分包含 ψ-强增生映象 ISHIKAWA迭代序列
下载PDF
Φ-伪压缩型映象的具误差的Ishikawa和Mann迭代程序的收敛性问题 被引量:35
18
作者 张石生 《应用数学和力学》 EI CSCD 北大核心 2000年第1期1-10,共10页
引入Φ_ 伪压缩型映象的概念,并研究了此类映象的具误差的Ishikawa 和Mann 迭代程序的收敛性问题· 本文结果改进和发展了许多人的最新结果·
关键词 Φ-伪压缩型映象 误差 MANN迭代程序 Ⅰ迭代程序
下载PDF
含m-增生算子或φ-伪压缩映象具误差的Ishikawa迭代的收敛性问题 被引量:15
19
作者 颜敏 李素梅 何震 《应用泛函分析学报》 CSCD 2000年第4期359-370,共12页
主要研究了 m-增生算子以及 -伪压缩映象的分别带两种误差的 Ishikawa迭代序列的收敛性问题 .推广了
关键词 M-增生算子 ¢-伪压缩映象 强伪压缩映象 ISHIKAWA迭代 收敛性
下载PDF
含广义m-增生映象的非线性变分包含的灵敏性分析(英文) 被引量:4
20
作者 毕中胜 韩泽 方亚平 《四川大学学报(自然科学版)》 CAS CSCD 北大核心 2003年第2期240-243,共4页
研究并证明了Banach空间中一类含参广义变分包含问题的解的存在性 。
关键词 广义m—增生映射 非线性变分包含 预解算子 灵敏性分析 BANACH空间 含参广义变分包含
下载PDF
上一页 1 2 16 下一页 到第
使用帮助 返回顶部