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Quasi-Equilibrium Problems and Constrained Multiobjective Games in Generalized Convex Space

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Abstract

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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  1. Xie-ping Ding
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Ding, Xp. Quasi-Equilibrium Problems and Constrained Multiobjective Games in Generalized Convex Space. Applied Mathematics and Mechanics 22, 160–172 (2001). https://doi.org/10.1023/A:1015580513016

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