Intersection theorems for generalized weak KKM set‐valued mappings with applications in optimization

Mircea Balaj

Mathematische Nachrichten, 2021, vol. 294, issue 7, 1262-1276

Abstract: In this paper, we introduce the concept of generalized weak KKM mapping that is more general than many others encountered in the KKM theory. Then, two previous intersection theorems of the author are extended from weak KKM mappings to generalized weak KKM mappings. Applications of these results to set‐valued equilibrium problems and minimax inequalities are given in the last two sections.

Date: 2021
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