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

DING Xie-ping

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DING Xie-ping. Maximal Elements for GB-Majorized Mappings in Product G-Convex Spaces and Applications(Ⅱ)[J]. Applied Mathematics and Mechanics, 2003, 24(9): 899-905.

Citation:

DING Xie-ping. Maximal Elements for G_B-Majorized Mappings in Product G-Convex Spaces and Applications(Ⅱ)[J]. Applied Mathematics and Mechanics, 2003, 24(9): 899-905.

DING Xie-ping. Maximal Elements for GB-Majorized Mappings in Product G-Convex Spaces and Applications(Ⅱ)[J]. Applied Mathematics and Mechanics, 2003, 24(9): 899-905.

Citation:

DING Xie-ping. Maximal Elements for G_B-Majorized Mappings in Product G-Convex Spaces and Applications(Ⅱ)[J]. Applied Mathematics and Mechanics, 2003, 24(9): 899-905.

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

DING Xie-ping

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

Received Date: 2002-03-19
Rev Recd Date: 2003-02-19
Publish Date: 2003-09-15

Abstract

Abstract

By applying existence theorems of maximal elements for a family of G_B-majorized map-pings in a product space of G-convex spaces, some coincidence theorem, Fan-Browder type fixed point theorem and some existence theorems of solutions for a system of minimax inequalities are proved under noncompact setting of G-convex spaces. These theorems improve and generalize many important known results in literature.
- maximal element,
- family of G_B-majorized mappings,
- coincidence theorem,
- minimax inequalities,
- product space of G-convex spaces

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References(16)

References

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