Alternative principles and minimax inequalities in <em>G</em>-convex spaces

Mircea Balaj

doi:10.1007/s10483-008-0510-x

Applied Mathematics and Mechanics >

2008 , Vol. 29 >Issue 5: 665 - 672

DOI: https://doi.org/10.1007/s10483-008-0510-x

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Alternative principles and minimax inequalities in G-convex spaces

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

Received date: 2007-03-16

Revised date: 2008-03-14

Online published: 2008-05-18

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Abstract

Using a fixed point theorem by Kuo, Jeng and Huang, we obtain in G-convex spaces a very general intersection theorem concerning the values of three maps. From this result we derive successively alternative theorems concerning maximal elements, analytic alternatives and minimax inequalities.

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Mircea Balaj . Alternative principles and minimax inequalities in G-convex spaces[J]. Applied Mathematics and Mechanics, 2008 , 29(5) : 665 -672 . DOI: 10.1007/s10483-008-0510-x

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