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Intersection theorems for generalized weak KKM set‐valued mappings with applications in optimization
Author(s) -
Balaj Mircea
Publication year - 2021
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201900243
Subject(s) - mathematics , intersection (aeronautics) , minimax , set (abstract data type) , pure mathematics , discrete mathematics , mathematical economics , computer science , engineering , programming language , aerospace engineering
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.