The KKM Theorem in Modular Spaces and Applications to Minimax Inequalities

The KKM Theorem in Modular Spaces and Applications to Minimax Inequalities

In this paper, we present a modular version of KKM and generalized KKM mappings and then we establish a characterization of generalized KKM mappings in modular spaces. Also we prove an analogue to KKM principle in modular spaces. Moreover, as an application, we give some sufficient conditions which...

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Veröffentlicht in:Bulletin of the Malaysian Mathematical Sciences Society 2016-07, Vol.39 (3), p.921-931
Hauptverfasser: Shabanian, S., Vaezpour, S. M.
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Applications of Mathematics
Mathematics
Mathematics and Statistics
Minimax technique
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description In this paper, we present a modular version of KKM and generalized KKM mappings and then we establish a characterization of generalized KKM mappings in modular spaces. Also we prove an analogue to KKM principle in modular spaces. Moreover, as an application, we give some sufficient conditions which guarantee existence of solutions of minimax problems in which we get Fan’s minimax inequality in modular spaces.
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subjects Applications of Mathematics
Mathematics
Mathematics and Statistics
Minimax technique
title The KKM Theorem in Modular Spaces and Applications to Minimax Inequalities
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