Nonself KKM maps and corresponding theorems in hadamard manifolds
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Publication Details
Author list: Chaipunya P., Kumam P.
Publisher: Universidad Politécnica de Valencia
Publication year: 2015
Journal: Applied General Topology (1576-9402)
Volume number: 16
Issue number: 1
Start page: 37
End page: 44
Number of pages: 8
ISSN: 1576-9402
eISSN: 1989-4147
Languages: English-Great Britain (EN-GB)
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Abstract
In this paper, we consider the KKM maps defined for a nonself map and the correlated intersection theorems in Hadamard manifolds. We also study some applications of the intersection results. Our outputs improved the results of Raj and Somasundaram [17, V. Sankar Raj and S. Somasundaram, KKM-type theorems for best proximity points, Appl. Math. Lett., 25(3):496–499, 2012.]. © AGT, UPV, 2015.
Keywords
Generalized equilibrium problems, KKM Maps