Maximal Elements for GB-Majorized Mappings in Product G-Convex Spaces and Applications(Ⅰ)

DING Xie-ping

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DING Xie-ping. Maximal Elements for GB-Majorized Mappings in Product G-Convex Spaces and Applications(Ⅰ)[J]. Applied Mathematics and Mechanics, 2003, 24(6): 583-594.

Citation:

DING Xie-ping. Maximal Elements for G_B-Majorized Mappings in Product G-Convex Spaces and Applications(Ⅰ)[J]. Applied Mathematics and Mechanics, 2003, 24(6): 583-594.

DING Xie-ping. Maximal Elements for GB-Majorized Mappings in Product G-Convex Spaces and Applications(Ⅰ)[J]. Applied Mathematics and Mechanics, 2003, 24(6): 583-594.

Citation:

DING Xie-ping. Maximal Elements for G_B-Majorized Mappings in Product G-Convex Spaces and Applications(Ⅰ)[J]. Applied Mathematics and Mechanics, 2003, 24(6): 583-594.

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Maximal Elements for G_B-Majorized Mappings in Product G-Convex Spaces and Applications(Ⅰ)

DING Xie-ping

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

Received Date: 2002-01-19
Rev Recd Date: 2003-02-19
Publish Date: 2003-06-15

Abstract

Abstract

A new family of set-valued mappings from a topological space into generalized convex spaces was introduced and studied. By using the continuous partition of unity theorem and Brouwer fixed point theorem, several existence theorems of maximal elements for the family of set-valued mappings were proved under noncompact setting of product generalized convex spaces. These theorems improve, unify and generalize many important results in recent literature.
- maximal element,
- family of G_B-majorized mappings,
- product G-convex space

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References(37)

References

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