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

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  • Mircea Balaj

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.

Suggested Citation

  • Mircea Balaj, 2021. "Intersection theorems for generalized weak KKM set‐valued mappings with applications in optimization," Mathematische Nachrichten, Wiley Blackwell, vol. 294(7), pages 1262-1276, July.
    • Handle: RePEc:bla:mathna:v:294:y:2021:i:7:p:1262-1276
    DOI: 10.1002/mana.201900243
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    References listed on IDEAS

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