Alternative Principles and Minimax Inequalities in G-Convex Spaces

Mircea Balaj

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Mircea Balaj. Alternative Principles and Minimax Inequalities in G-Convex Spaces[J]. Applied Mathematics and Mechanics, 2008, 29(5): 601-608.

Citation:

Mircea Balaj. Alternative Principles and Minimax Inequalities in G-Convex Spaces[J]. Applied Mathematics and Mechanics, 2008, 29(5): 601-608.

Citation:

Mircea Balaj. Alternative Principles and Minimax Inequalities in G-Convex Spaces[J]. Applied Mathematics and Mechanics, 2008, 29(5): 601-608.

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Alternative Principles and Minimax Inequalities in G-Convex Spaces

Mircea Balaj

Department of Mathematics, University of Oradea, 410087 Oradea, Romania

Received Date: 2007-08-16
Rev Recd Date: 2008-03-16
Publish Date: 2008-05-15

Abstract

Abstract

By using a fixed point theorem due to Kuo,Jeng and Huang in G-convex spaces a very general intersection theorem concerning the values of three maps was obtained.From this result successively alternative theorems concerning maximal elements,analytic alternatives and minimax inequalities were derived.
- G-convex space,
- strict KKM property,
- fixed point theorem,
- maximal element,
- alternative theorem,
- minimax inequality

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References(14)

References

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