Constrained Multiobjective Games in Locally Convex <em>H-</em>Spaces

DING Xie-ping

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Article Navigation > Applied Mathematics and Mechanics > 2003 > 24(5): 441-449

DING Xie-ping. Constrained Multiobjective Games in Locally Convex H-Spaces[J]. Applied Mathematics and Mechanics, 2003, 24(5): 441-449.

Citation:

DING Xie-ping. Constrained Multiobjective Games in Locally Convex H-Spaces[J]. Applied Mathematics and Mechanics, 2003, 24(5): 441-449.

Citation:

DING Xie-ping. Constrained Multiobjective Games in Locally Convex H-Spaces[J]. Applied Mathematics and Mechanics, 2003, 24(5): 441-449.

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Constrained Multiobjective Games in Locally Convex H-Spaces

DING Xie-ping

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

Received Date: 2001-07-06
Rev Recd Date: 2003-03-07
Publish Date: 2003-05-15

Abstract

Abstract

A new class of constrained multiobjective games with infinite players in noncompact locally convex H-spaces without linear structure are introduced and studied.By applying a Fan-Glicksberg type fixed point theorem for upper semicontinuous set-valued mappings with closed acyclic values and a maximum theorem,several existence theorems of weighted Nath-equilibria and Pareto equilibria for the constrained multiobjective games are proved in noncompact locally convex H-spaces.These theorems improve,unify and generalize the corresponding results of the multiobjective games in recent literatures.
- constrained multiobjective game,
- maximum theorem,
- fixed point,
- weighted Nash-equilibria,
- Pareto equilibria,
- locally convex H-space

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References(30)

References

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