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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Communicated by DING Xie-ping
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Balaj, M. Alternative principles and minimax inequalities in G-convex spaces. Appl. Math. Mech.-Engl. Ed. 29, 665–672 (2008). https://doi.org/10.1007/s10483-008-0510-x
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DOI: https://doi.org/10.1007/s10483-008-0510-x
Key words
- G-convex space
- strict KKM property
- fixed point theorem
- maximal element
- alternative theorem
- minimax inequality