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

• Gabeleh, Moosa ^[2] ; Patle, Pradip Ramesh ^[1]
  1. [1] Amity University

     Amity University

     IN.36.141.7279602, India

     
  2. [2] Ayatollah Boroujerdi University
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 23, Nº. 2, 2022, págs. 405-424
• Idioma: inglés
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• Resumen

  • 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.