检索结果-南通市图书馆

quasi-equilibrium problemS AND CONSTRAINED MULTIOBJECTIVE GAMES IN GENERALIZED CONVEX SPACE

在线全文

学校读者我要写书评

暂无评论

引用

Applied Mathematics and Mechanics(English Edition) 2001年第2期22卷 160-172页

作者： DING Xie-ping(丁协平) Department of Mathematics Sichuan Normal UniversityChengdu 610066 P R China

A class of quasi-equilibrium problems and a class of constrained multiobjective games were introduced and studied in generalized convex spaces without linear structure. First, two existence theorems of solutions for quasi-equilibrium problems are proved in noncompact generalized convex spaces. Then, ar applications of the quasi-equilibrium existence theorem, several existence theorems of weighted Nash-equilibria and Pareto equilibria for the constrained multiobjective games are established in noncompact generalized convex spaces. These theorems improve, unify, and generalize the corresponding results of the multiobjective games in recent literatures.

关键词： quasi-equilibrium problem constrained multiobjective game weighted Nash-equilibria Pareto equilibria generalized convex space

A STRONG CONVERGENCE THEOREM FOR quasi-equilibrium problemS IN BANACH SPACES

在线全文

学校读者我要写书评

暂无评论

引用

Acta Mathematica Scientia 2022年第1期42卷 221-232页

作者： Mehdi MOHAMMADI G.Zamani ESKANDANI Department of Mathematics Payame Noor UniversityTehranIran Department of Pure Mathematics Faculty of Mathematical SciencesUniversity of TabrizTabrizIran

In this paper,we study an extragradient algorithm for approximating solutions of quasi-equilibrium problems in Banach *** prove strong convergence of the sequence generated by the extragradient method to a solution of... 详细信息

关键词： demiclosed,extragradient algorithm quasi-equilibrium problem quasiΦ-nonexpansive mapping strong convergence

Nonempty intersection theorems in topological spaces with applications

在线全文

学校读者我要写书评

暂无评论

引用

Applied Mathematics and Mechanics(English Edition) 2009年第7期30卷 905-914页

作者：方敏黄南京 Department of Economic Mathematics South Western University of Finance and Economics Department of Mathematics Sichuan University

In this paper, we establish some new nonempty intersection theorems for generalized L-KKM mappings and prove some new fixed point theorems for set-valued mappings under suitable conditions in topological spaces. As applications, an existence theorem for an equilibrium problem with lower and upper bounds and two existence theorems for a quasi-equilibrium problem with lower and upper bounds are obtained in topological spaces. Our results generalize some known results in the literature.

关键词： generalized L-KKM/napping L-diagonally quasi-subspace transfer compactly closed-valued fixed point quasi-equilibrium problem