Nonempty Intersection Theorems and System of Generalized Vector Equilibrium Problems in Product G-Convex Spaces

DING Xie-ping

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DING Xie-ping. Nonempty Intersection Theorems and System of Generalized Vector Equilibrium Problems in Product G-Convex Spaces[J]. Applied Mathematics and Mechanics, 2004, 25(6): 563-571.

Citation:

DING Xie-ping. Nonempty Intersection Theorems and System of Generalized Vector Equilibrium Problems in Product G-Convex Spaces[J]. Applied Mathematics and Mechanics, 2004, 25(6): 563-571.

Citation:

DING Xie-ping. Nonempty Intersection Theorems and System of Generalized Vector Equilibrium Problems in Product G-Convex Spaces[J]. Applied Mathematics and Mechanics, 2004, 25(6): 563-571.

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Nonempty Intersection Theorems and System of Generalized Vector Equilibrium Problems in Product G-Convex Spaces

DING Xie-ping

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

Received Date: 2002-08-29
Rev Recd Date: 2003-12-05
Publish Date: 2004-06-15

Abstract

Abstract

By using an existence theorems of maximal elements for a family of set-valued mappings in G-convex spaces due to the author, some new nonempty intersection theorems for a family of set-valued mappings were established in noncompact product G-convex spaces. As applications, some equilibrium existence theorems for a system of generalized vector equilibrium problems were proved in noncompact product G-convex spaces. These theorems unify, improve and generalize some important known results in literature.
- family of set-valued mapping,
- nonempty intersection theorem,
- system of generalized vector equilibrium problem,
- product G-convex space

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References(23)

References

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