On Best Approximations for Set-Valued Mappings in <i>G</i>-convex Spaces
Zoran D. Mitrović,
Azhar Hussain,
Manuel de la Sen,
Stojan Radenović
Affiliations
Zoran D. Mitrović
Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City 758307, 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
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.
