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

DING Xie-ping

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DING Xie-ping. Qusi-Equilibrium Problems and Constrained Multiobjective Games in Generalized Convex Space[J]. Applied Mathematics and Mechanics, 2001, 22(2): 140-150.

Citation:

DING Xie-ping. Qusi-Equilibrium Problems and Constrained Multiobjective Games in Generalized Convex Space[J]. Applied Mathematics and Mechanics, 2001, 22(2): 140-150.

Citation:

DING Xie-ping. Qusi-Equilibrium Problems and Constrained Multiobjective Games in Generalized Convex Space[J]. Applied Mathematics and Mechanics, 2001, 22(2): 140-150.

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

DING Xie-ping

Department of Mathematics, Sichuan Normal University, Chengdu 610066, P. R. China

Received Date: 1999-09-20
Rev Recd Date: 2000-10-15
Publish Date: 2001-02-15

Abstract

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.
- quasi-equilibrium problem,
- constrained multiobjective game,
- weighted Nash-equilibria,
- Pareto equilibria,
- generalized convex space

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References(32)

References

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