Applied General Topology (Oct 2022)

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

  • Moosa Gabeleh,
  • Pradip Ramesh Patle

DOI
https://doi.org/10.4995/agt.2022.14000
Journal volume & issue
Vol. 23, no. 2
pp. 405 – 424

Abstract

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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.

Keywords