Best proximity point (pair) results via MNC in Busemann convex metric spaces




Coupled best proximity point (pair), Cyclic (noncyclic) condensing operator, Optimum solution, Busemann convex space


In this paper, we present a new class of cyclic (noncyclic) α-ψ and β-ψ condensing operators and survey the existence of best proximity points (pairs) as well as coupled best proximity points (pairs) in the setting of reflexive Busemann convex spaces. Then an application of the main existence result to study the existence of an optimal solution for a system of differential equations is demonstrated.


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Author Biographies

Moosa Gabeleh, Ayatollah Boroujerdi University

Department of Mathematics

Pradip Ramesh Patle, Amity University Madhya Pradesh

Department of Mathematics, Amity School of Engineering and Technology


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How to Cite

M. Gabeleh and P. R. Patle, “Best proximity point (pair) results via MNC in Busemann convex metric spaces”, Appl. Gen. Topol., vol. 23, no. 2, pp. 405–424, Oct. 2022.