On Best Approximations for Set-Valued Mappings in G -convex Spaces

Zoran D. Mitrović, Azhar Hussain, Manuel de la Sen and Stojan Radenović
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Zoran D. Mitrović: Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam
Azhar Hussain: Department of Mathematics, University of Sargodha, Sargodha-40100, Pakistan
Manuel de la Sen: Institute of Research and Development of Processes IIDP, University of the Basque Country, Campus of Leioa, P.O. Box 48940, Leioa, 48940 Bizkaia, Spain
Stojan Radenović: Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd 35, Serbia

Mathematics, 2020, vol. 8, issue 3, 1-7

Abstract: In this paper we obtain a best approximations theorem for multi-valued mappings in G -convex spaces. As applications, we derive results on the best approximations in hyperconvex and normed spaces. The obtain results generalize many existing results in the literature.

Keywords: ?-convex space; hyperconvex space; KKM map; best approximations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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