Generalized Constrained Multiobjective Games in Locally FC-Uniform Spaces

DING Xie-ping; Lee Chin-san; YAO Jen-chih

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DING Xie-ping, Lee Chin-san, YAO Jen-chih. Generalized Constrained Multiobjective Games in Locally FC-Uniform Spaces[J]. Applied Mathematics and Mechanics, 2008, 29(3): 272-280.

Citation:

DING Xie-ping, Lee Chin-san, YAO Jen-chih. Generalized Constrained Multiobjective Games in Locally FC-Uniform Spaces[J]. Applied Mathematics and Mechanics, 2008, 29(3): 272-280.

Citation:

DING Xie-ping, Lee Chin-san, YAO Jen-chih. Generalized Constrained Multiobjective Games in Locally FC-Uniform Spaces[J]. Applied Mathematics and Mechanics, 2008, 29(3): 272-280.

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Generalized Constrained Multiobjective Games in Locally FC-Uniform Spaces

1.
College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, P. R. China;

Received Date: 2007-01-06
Rev Recd Date: 2008-01-16
Publish Date: 2008-03-15

Abstract

Abstract

A new class of generalized constrained multiobjective games is introduced and studied in locally FC-uniform spaces without convexity structure where the number of players may be finite or infinite and all payoff functions get their values in an infinite-dimensional space. By using a Himmelberg type fixed point theorem in locally FC-uniform spaces, some existence theorems of weak Pareto equilibria for the generalized constrained multiobjective games are established in locally FC-uniform spaces, which improve, unify and generalize the corresponding results in recent literatures.
- locally FC-uniform space,
- fixed point,
- generalized constrained multiobjective game,
- weak Pareto equilibrium

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References(33)

References

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