检索结果-南通市图书馆

Applied Mathematics and Mechanics(English Edition) 2009年第7期30卷 925-932页

作者：刘英 College of Mathematics and Computer Hebei University

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.

关键词： relatively nonexpansive mapping generalized projection inverse-strongly-monotone variational inequality p-uniformly convex

Iterative convergence theorems for maximal monotone operators and relatively nonexpansive mappings

在线全文

学校读者我要写书评

暂无评论

Applied Mathematics(A Journal of Chinese Universities) 2008年第3期23卷 319-325页

作者： WEI Li SU Yong-fu ZHOU Hai-yun School of Math. and Statist. Hebei Univ. of Economics and Business Shijiazhuang 050061 China Dept. of Math. Tianjin Polytechnic Univ. Tianjin 300160 China Institute of Appl. Math. and Mech. Ordnance Engineer. College Shijiazhuang 050003 China

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.

关键词： maximal monotone operator relatively nonexpansive mapping strong convergence zero point fixed point

Weak Convergence of a Projection Algorithm for Variational Inequalities and relatively nonexpansive mappings in a Banach Space

在线全文

学校读者我要写书评

暂无评论

Journal of Mathematical Research and Exposition 2010年第4期30卷 716-724页

作者： Ying LIU College of Mathematics and Computer Hebei University Hebei 071002 P. R. China

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 weakly to a common element of two sets.

关键词： relatively nonexpansive mapping generalized projection inverse-strongly-monotone mapping weakly sequential continuity p-uniformly convexity constant.

Modified Block Iterative Method for Solving Convex Feasibility Problem, Equilibrium Problems and Variational Inequality Problems

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2012年第4期28卷 741-758页

作者： Shi Sheng ZHANG Chi Kin CHAN H.W.JOSEPH LEE College of Statistics and Mathematics Yunnan Uniersity of Finance and Economics Department of Applied Mathematics The Hong Kong Polytechnic University

The purpose of this paper is by using the modified block iterative method to propose an algorithm for finding a common element in the intersection of the set of common fixed points of an infinite family of quasi-C-asymptotically nonexpansive and the set of solutions to an equilibrium problem and the set of solutions to a variational inequality. Under suitable conditions some strong convergence theorems are established in 2-uniformly convex and uniformly smooth Banach spaces. As applications we utilize the results presented in the paper to solving the convex feasibility problem （CFP） and zero point problem of maximal monotone mappings in Banach spaces. The results presented in the paper improve and extend the corresponding results announced by many authors.

关键词： Modified block iterative algorithm quasi-φ-asymptotically nonexpansive mapping quasi-φ-nonexpansive mapping relatively nonexpansive mapping generalized projection

WEAK CONVERGENCE THEOREMS FOR GENERAL EQUILIBRIUM PROBLEMS AND VARIATIONAL INEQUALITY PROBLEMS AND FIXED POINT PROBLEMS IN BANACH SPACES

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2013年第1期33卷 303-320页

作者：蔡钢步尚金 Department of Mathematical Sciences Tsinghua University

In this paper, we introduce two new iterative algorithms for finding a common element of the set of solutions of a general equilibrium problem and the set of solutions of the variational inequality for an inverse-strongly monotone operator and the set of common fixed points of two infinite families of relatively nonexpansive mappings or the set of common fixed points of an infinite family of relatively quasi-nonexpansive mappings in Banach spaces. Then we study the weak convergence of the two iterative sequences. Our results improve and extend the results announced by many others.

关键词： weak convergence relatively nonexpansive mapping equilibrium problem variational inequality

A Weak Convergence Theorem for Equilibrium Problems,Variational Inequalities and Fixed Point Problems in 2-Uniformly Convex Banach Spaces

在线全文

学校读者我要写书评

暂无评论

Journal of Mathematical Research and Exposition 2011年第3期31卷 551-561页

作者： Li WEI Rui Lin TAN Hai Yun ZHOU School of Mathematics and Statistics Hebei University of Economics and Business Hebei 050061 P. R. China Institute of Applied Mathematics and Mechanics Ordnance Engineering College Hebei 050003 P. R. China

In this paper,we introduce a new iterative scheme for finding the common element of the set of solutions of an equilibrium problem,the set of solutions of variational inequalities for an α-inversely strongly monotone operator and the set of fixed points of relatively nonexpansive mappings in a real uniformly smooth and 2-uniformly convex Banach *** weak convergence theorems are obtained,to extend the previous work.

关键词： relatively nonexpansive mapping α-inversely strongly monotone operator equilibrium problem variational inequality weak convergence fixed point.