Open AccessWeak KKM set-valued mappings in hyperconvex metric spaces
Author(s) -
Praveen Agarwal,
Mircea Balaj,
Donal O’Regan
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2101157a
Subject(s) - mathematics , intersection (aeronautics) , minimax , pure mathematics , metric space , set (abstract data type) , metric (unit) , topological space , discrete mathematics , topology (electrical circuits) , combinatorics , mathematical economics , operations management , computer science , engineering , economics , programming language , aerospace engineering
In this paper, the concept of weak KKM set-valued mapping is extended from topological vector spaces to hyperconvex metric spaces. For these mappings we obtain several intersection theorems that prove to be useful in establishing existence criteria for weak and strong solutions of the general variational inequality problem and minimax inequalities.