QUASI-EQUILIBRIUM PROBLEMS AND CONSTRAINED MULTIOBJECTIVE GAMES IN GENERALIZED C

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QUASI-EQUILIBRIUM PROBLEMS AND CONSTRAINED MULTIOBJECTIVE GAMES IN GENERALIZED CONVEX SPACE

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, as 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.

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作 者: 丁协平  
作者单位:Department of Mathematics, Sichuan Normal University,Chengdu 610066, P R China 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION) 
年,卷(期):2001 22(2) 
分类号:O225 
关键词:quasi-equilibrium problem   constrained multiobjective game   weighted Nash equilibria   Pareto equilibria   generalized convex space  
机标关键词:generalized convex spacesPareto equilibriaexistence theoremlinear structure 
基金项目:国家自然科学基金,四川省自然科学基金 
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