期刊文献+
共找到36篇文章
< 1 2 >
每页显示 20 50 100
FIXED POINTS OF INCREASING OPERATORS IN ORDERED SPACE WITH APPLICATIONS 被引量:1
1
作者 YANG Guang-chong(杨光崇) 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2002年第3期341-349,共9页
The minimal-maximal fixed points theorems of increasing operators are proved in ordered space and some well-known results of increasing operators and monotone operators are improved and generalized. The obtained resul... The minimal-maximal fixed points theorems of increasing operators are proved in ordered space and some well-known results of increasing operators and monotone operators are improved and generalized. The obtained results are then applied to singular nonlinear boundary problem in ordinary differential equation without any assumption of continuity, compactness, convexity and concavity. 展开更多
关键词 ordered space supremum and infimum increasing operator and fixed point singular boundary problem
下载PDF
Separation axioms in topological ordered spaces
2
作者 LI Kedian 《商丘师范学院学报》 CAS 2012年第3期10-14,共5页
The Ti-axiom,the Ti-ordered axiom and Ti-pairwise axiom(i = 0,1,2,3,4) of topological ordered space are discussed and proved that they are equivalence under the certain conditions.
关键词 topological order space Ti-axiom Ti-ordered axiom Ti-pairwise axiom
下载PDF
QUASI-WEAK CONVERGENCE WITH APPLICATIONS IN ORDERED BANACH SPACE 被引量:1
3
作者 杨光崇 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1999年第11期1291-1296,共6页
In the paper quasi_weak convergence is introduced in ordered Banach space and it is weaker than weak convergence. Besed on it, the fixed point existence theorem of increasing operator is proved without the suppose of ... In the paper quasi_weak convergence is introduced in ordered Banach space and it is weaker than weak convergence. Besed on it, the fixed point existence theorem of increasing operator is proved without the suppose of continuity and compactness in the sense of norm and weak compactness and is applied to the Hammerstein nonlinear intergal equation. 展开更多
关键词 ordered Banach space separated property quasi_weak convergence fixed points
下载PDF
Common Fixed Point Results for Quasi-contractions Involving Altering Distance Functions in Ordered Cone Metric Spaces 被引量:1
4
作者 SONG Ji-ping WANG Mao-fa 《Chinese Quarterly Journal of Mathematics》 2018年第1期1-16,共16页
Some common fixed point results for mappings satisfying a quasi-contractive condition which involves altering distance functions are obtained in partially ordered complete cone metric spaces. A sufficient condition fo... Some common fixed point results for mappings satisfying a quasi-contractive condition which involves altering distance functions are obtained in partially ordered complete cone metric spaces. A sufficient condition for the uniqueness of common fixed point is proved. Also, an example is given to support our results. 展开更多
关键词 partially ordered cone metric space quasi-contraction common fixed point altering distance function
下载PDF
Double coupled fixed point for multi-valued mixed increasing operators in ordered Banach spaces
5
作者 丁体明 《Journal of Chongqing University》 CAS 2006年第1期50-52,共3页
In this paper, a new concept of double coupled fixed point for multi-valued mixed increasing operators is given and some new double coupled fixed point theorems for multi-valued mixed increasing operators in ordered B... In this paper, a new concept of double coupled fixed point for multi-valued mixed increasing operators is given and some new double coupled fixed point theorems for multi-valued mixed increasing operators in ordered Banach spaces are also given. These results extend and generalize some results of Huang and Fang. 展开更多
关键词 ordered Banach spaces double coupled fixed point mixed increasing operators
下载PDF
NEWTON-LIK E METNODS IN PARTIALLY ORDERED BANACH SPACES
6
作者 I.K.Argyros 《Analysis in Theory and Applications》 1993年第1期1-9,共9页
We provide convergence results and error estimates for Newton-like methods in generalized Banach spaces.The idea of a generalized norm is used whichis defined to be a map from a linear space into a partially ordered B... We provide convergence results and error estimates for Newton-like methods in generalized Banach spaces.The idea of a generalized norm is used whichis defined to be a map from a linear space into a partially ordered Banach space.Convergence results and error estimates are improved compared with the real norm theory. 展开更多
关键词 SHOW QZ NEWTON-LIK E METNODS IN PARTIALLY ordered BANACH spaceS
下载PDF
γ and β Approximations via General Ordered Topological Spaces
7
作者 Mohamed Abo-Elhamayel 《Applied Mathematics》 2016年第14期1580-1588,共10页
In this paper, we introduce the concepts of g and b approximations via general ordered topological approximation spaces. Also, increasing (decreasing) g, b boundary, positive and negative regions are given in general ... In this paper, we introduce the concepts of g and b approximations via general ordered topological approximation spaces. Also, increasing (decreasing) g, b boundary, positive and negative regions are given in general ordered topological approximation spaces (GOTAS, for short). Some important properties of them were investigated. From this study, we can say that studying any properties of rough set concepts via GOTAS is a generalization of Pawlak approximation spaces and general approximation spaces. 展开更多
关键词 Rough Sets APPROXIMATIONS ordered Topological spaces
下载PDF
Study of Fixed Point Theorems for Higher Dimension in Partially Ordered Metric Spaces
8
作者 Ibtisam Masmali Sumitra Dalal 《Applied Mathematics》 2016年第5期399-412,共14页
In this paper, we establish the existence and uniqueness of fixed points of operator , when n is an arbitrary positive integer and X is a partially ordered complete metric space. We have shown examples to verify our w... In this paper, we establish the existence and uniqueness of fixed points of operator , when n is an arbitrary positive integer and X is a partially ordered complete metric space. We have shown examples to verify our work. Our results generalize the recent fixed point theorems cited in [1]-[4] etc. and include several recent developments. 展开更多
关键词 n-Tupled Coincidence Points n-Tupled Coincidence Fixed Points Compatible Maps Fixed Points and Partially ordered Metric spaces
下载PDF
Endpoints of Multi-Valued Weak Contractions on the Metric Space of Partially Ordered Groups
9
作者 Congdian Cheng 《Advances in Pure Mathematics》 2022年第11期638-651,共14页
The present work considers the endpoint in the abstract metric space. It firstly introduces the metric space of partially ordered groups and the metric space of partially ordered modules, respectively;and defines the ... The present work considers the endpoint in the abstract metric space. It firstly introduces the metric space of partially ordered groups and the metric space of partially ordered modules, respectively;and defines the convergence of sequences and the multi-valued weak contractions, etc., on the introduced space. And then, with the methods of functional analysis and abstract algebra, it successively establishes an endpoint theorem for the metric space of partially ordered groups and an endpoint theorem for the metric space of partially ordered modules. The contributions of this article extend the theory of cone metric space constructed by Huang and Zhang (2007) and some recent results on the fixed point and endpoint theory, such as the endpoint theorem given by Amini-Harandi (2010). 展开更多
关键词 Fixed Point Endpoint Metric space Valued in Partially ordered Group Topological Structure Weak Contraction
下载PDF
Characterizations of Sobolev spaces in Euclidean spaces and Heisenberg groups 被引量:3
10
作者 CUI Xiao-yue LAM Nguyen LU Guo-zhen 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2013年第4期531-547,共17页
Recently, many new features of Sobolev spaces W k,p ?RN ? were studied in [4-6, 32]. This paper is devoted to giving a brief review of some known characterizations of Sobolev spaces in Euclidean spaces and describin... Recently, many new features of Sobolev spaces W k,p ?RN ? were studied in [4-6, 32]. This paper is devoted to giving a brief review of some known characterizations of Sobolev spaces in Euclidean spaces and describing our recent study of new characterizations of Sobolev spaces on both Heisenberg groups and Euclidean spaces obtained in [12] and [13] and outlining their proofs. Our results extend those characterizations of first order Sobolev spaces in [32] to the Heisenberg group setting. Moreover, our theorems also provide diff erent characterizations for the second order Sobolev spaces in Euclidean spaces from those in [4, 5]. 展开更多
关键词 characterization of Sobelev spaces Folland-Stein space Poincar′e inequalities Heisenberg group second order Sobolev space
下载PDF
SOME EULER SPACES OF DIFFERENCE SEQUENCES OF ORDER m 被引量:5
11
作者 Harun Polat Feyzi Basar 《Acta Mathematica Scientia》 SCIE CSCD 2007年第2期254-266,共13页
Kizmaz [13] studied the difference sequence spaces ∞(A), c(A), and co(A). Several article dealt with the sets of sequences of m-th order difference of which are bounded, convergent, or convergent to zero. Alta... Kizmaz [13] studied the difference sequence spaces ∞(A), c(A), and co(A). Several article dealt with the sets of sequences of m-th order difference of which are bounded, convergent, or convergent to zero. Altay and Basar [5] and Altay, Basar, and Mursaleen [7] introduced the Euler sequence spaces e0^r, ec^r, and e∞^r, respectively. The main purpose of this article is to introduce the spaces e0^r△^(m)), ec^r△^(m)), and e∞^r△^(m))consisting of all sequences whose mth order differences are in the Euler spaces e0^r, ec^r, and e∞^r, respectively. Moreover, the authors give some topological properties and inclusion relations, and determine the α-, β-, and γ-duals of the spaces e0^r△^(m)), ec^r△^(m)), and e∞^r△^(m)), and the Schauder basis of the spaces e0^r△^(m)), ec^r△^(m)). The last section of the article is devoted to the characterization of some matrix mappings on the sequence space ec^r△^(m)). 展开更多
关键词 Difference sequence spaces of order m Schauder basis the α- β- and γ-duals matrix mappings
下载PDF
CHARACTERIZATIONS OF COMPACT OPERATORS ON SOME EULER SPACES OF DIFFERENCE SEQUENCES OF ORDER m 被引量:2
12
作者 Ivana Djolovi Eberhard Malkowsky 《Acta Mathematica Scientia》 SCIE CSCD 2011年第4期1465-1474,共10页
In the past, several authors studied spaces of m-th order difference sequences, among them, H.Polat and F.Basar ([17]) defined the Euler spaces of m-th order difference sequences e r 0 (△ ( m ) ), e r c (△ (... In the past, several authors studied spaces of m-th order difference sequences, among them, H.Polat and F.Basar ([17]) defined the Euler spaces of m-th order difference sequences e r 0 (△ ( m ) ), e r c (△ ( m ) ) and e r ∞ (△ ( m ) ) and characterized some classes of matrix transformations on them. In our paper, we add a new supplementary aspect to their research by characterizing classes of compact operators on those spaces. For that purpose, the spaces are treated as the matrix domains of a triangle in the classical sequence spaces c 0 , c and ∞ . The main tool for our characterizations is the Hausdorff measure of noncompactness. 展开更多
关键词 difference sequence spaces of order m matrix transformations compact operators Hausdorff measure of noncompactness
下载PDF
Boundary Value Problems for Second-order Integro-differential Equations in Banach Spaces 被引量:1
13
作者 莫海平 郭林 《Northeastern Mathematical Journal》 CSCD 2002年第2期183-188,共6页
This paper investigates the maximal and minimal solutions of initial value problems for second order nonlinear integro-differential equations of Volterra type on a finite interval in a Banach space by establishing a c... This paper investigates the maximal and minimal solutions of initial value problems for second order nonlinear integro-differential equations of Volterra type on a finite interval in a Banach space by establishing a comparison result and using the monotone iterative technique. 展开更多
关键词 integro-differential equation ordered Banacb space comparison theorem monotone iterative technique
下载PDF
THE BESOV AND TRIEBEL-LIZORKIN SPACES WITH HIGH ORDER ON THE LIPSCHITZ CURVES 被引量:1
14
作者 D.G.Deng Y.S.Han 《Analysis in Theory and Applications》 1993年第4期89-106,共18页
The Besov spaces B_p^(α,4)(Γ)and Triebel-Lizorkin spaces F_p^(α,4)(Γ)with high order x∈R on a Lipschitz curve Γ are defind,when 1≤p≤∞,1≤q≤∞.To compare to the classical case.a difference characterization of... The Besov spaces B_p^(α,4)(Γ)and Triebel-Lizorkin spaces F_p^(α,4)(Γ)with high order x∈R on a Lipschitz curve Γ are defind,when 1≤p≤∞,1≤q≤∞.To compare to the classical case.a difference characterization of such spaces in the case|x|<1 is given also. 展开更多
关键词 THE BESOV AND TRIEBEL-LIZORKIN spaceS WITH HIGH ORDER ON THE LIPSCHITZ CURVES SHOW
下载PDF
EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR INITIAL VALUE PROBLEMS OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS IN BANACH SPACES
15
作者 洪世煌 胡适耕 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1999年第3期290-299,共10页
In this paper, the initial value problems of second order ordinary differential equations in Banach spaces are discussed. By using the monotone iterative technique, some existence and uniqueness theorems for solutions... In this paper, the initial value problems of second order ordinary differential equations in Banach spaces are discussed. By using the monotone iterative technique, some existence and uniqueness theorems for solutions are obtained. 展开更多
关键词 ordered Banach spaces measures of noncompactness mixed monotone operators
下载PDF
SOLUTIONS OF THE BENJAMIN-ONO EQUATION IN FRACTIONAL ORDER SOBOLEV SPACES
16
作者 冯学尚 《Acta Mathematica Scientia》 SCIE CSCD 1992年第3期286-291,共6页
We show for the Benjamin-Ono equation an existence uniqeness theorem in Sobolev spaces of arbitrary fractional order s greater-than-or-equal-to 2, provided the initial data is given in the same space.
关键词 SOLUTIONS OF THE BENJAMIN-ONO EQUATION IN FRACTIONAL ORDER SOBOLEV spaceS der
下载PDF
PIECEWISE SMOOTH SOLUTION OF THE FIRST ORDER SEMILINEAR HYPERBOLIC SYSTEMS IN HIGHER SPACE DIMENSION
17
作者 金树泽 《Acta Mathematica Scientia》 SCIE CSCD 1992年第2期190-202,共13页
It is important to study the propagation and interaction of progressing waves of nonlinear equations in the class of piecewise smooth function. However, there has not been many works on that in multidimensional case. ... It is important to study the propagation and interaction of progressing waves of nonlinear equations in the class of piecewise smooth function. However, there has not been many works on that in multidimensional case. In 1985, J, Rauch & M. Reed have provad the existence and uniqueness of piecewise smooth solution for 展开更多
关键词 PIECEWISE SMOOTH SOLUTION OF THE FIRST ORDER SEMILINEAR HYPERBOLIC SYSTEMS IN HIGHER space DIMENSION der
下载PDF
APPROXIMATION ORDER AND INTERPOLATION SPACES 被引量:3
18
作者 Yang Lihua(Zhongshan University, China) 《Analysis in Theory and Applications》 1998年第1期57-68,共0页
In this paper we introduce the two-parameter operators on Abelian group and establish their interpolation theorems of approximation, which are extensions of the interpolation theorems for nonlinear best approximation ... In this paper we introduce the two-parameter operators on Abelian group and establish their interpolation theorems of approximation, which are extensions of the interpolation theorems for nonlinear best approximation by R. Devore and are suitable for the approximation of oprators. 展开更多
关键词 II APPROXIMATION ORDER AND INTERPOLATION spaceS
全文增补中
Structure learning on Bayesian networks by finding the optimal ordering with and without priors 被引量:5
19
作者 HE Chuchao GAO Xiaoguang GUO Zhigao 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2018年第6期1209-1227,共19页
Ordering based search methods have advantages over graph based search methods for structure learning of Bayesian networks in terms on the efficiency. With the aim of further increasing the accuracy of ordering based s... Ordering based search methods have advantages over graph based search methods for structure learning of Bayesian networks in terms on the efficiency. With the aim of further increasing the accuracy of ordering based search methods, we first propose to increase the search space, which can facilitate escaping from the local optima. We present our search operators with majorizations, which are easy to implement. Experiments show that the proposed algorithm can obtain significantly more accurate results. With regard to the problem of the decrease on efficiency due to the increase of the search space, we then propose to add path priors as constraints into the swap process. We analyze the coefficient which may influence the performance of the proposed algorithm, the experiments show that the constraints can enhance the efficiency greatly, while has little effect on the accuracy. The final experiments show that, compared to other competitive methods, the proposed algorithm can find better solutions while holding high efficiency at the same time on both synthetic and real data sets. 展开更多
关键词 Bayesian network structure learning ordering search space graph search space prior constraint
下载PDF
On the Monotone Iterative Method for Set Valued Equation 被引量:2
20
作者 TIAN Yan LEI Jin-gan (College of Mathematics and Computer Science, Wuhan University, Wuhan 430072, China) 《Wuhan University Journal of Natural Sciences》 CAS 2000年第1期22-26,共5页
This paper deals with the monotone iterative method for set -- valued operator equation in ordered normed space. Some results for the case of single valued operator are generalized here, as an application, a discontin... This paper deals with the monotone iterative method for set -- valued operator equation in ordered normed space. Some results for the case of single valued operator are generalized here, as an application, a discontinuous nonlinear differential equation problem is discussed. 展开更多
关键词 ordered normed space set-valued operator approximate solution
下载PDF
上一页 1 2 下一页 到第
使用帮助 返回顶部