Weak KKM set-valued mappings in hyperconvex metric spaces

Ravi P. Agarwal; Mircea Balaj; Donal O’regan

doi:10.2298/FIL2101157A

Weak KKM set-valued mappings in hyperconvex metric spaces

Ravi P. Agarwal, Mircea Balaj, Donal O’regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

2 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	157-167
Number of pages	11
Journal	Filomat
Volume	35
Issue number	1
DOIs	https://doi.org/10.2298/FIL2101157A
Publication status	Published - 2021

Keywords

Hyperconvex metric space
Intersection theorem
Minimax inequality
Variational inequality
Weak KKM set-valued mapping

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10.2298/FIL2101157A

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title = "Weak KKM set-valued mappings in hyperconvex metric spaces",

abstract = "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.",

keywords = "Hyperconvex metric space, Intersection theorem, Minimax inequality, Variational inequality, Weak KKM set-valued mapping",

author = "Agarwal, \{Ravi P.\} and Mircea Balaj and Donal O{\textquoteright}regan",

year = "2021",

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AU - Agarwal, Ravi P.

AU - Balaj, Mircea

AU - O’regan, Donal

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AB - 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.

KW - Hyperconvex metric space

KW - Intersection theorem

KW - Minimax inequality

KW - Variational inequality

KW - Weak KKM set-valued mapping

UR - https://www.scopus.com/pages/publications/85120612019

U2 - 10.2298/FIL2101157A

DO - 10.2298/FIL2101157A

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VL - 35

SP - 157

EP - 167

JO - Filomat

JF - Filomat

IS - 1

ER -

Weak KKM set-valued mappings in hyperconvex metric spaces

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Keywords

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