A necessary and sufficient condition for best proximity point in complete metric spaces with applications to analytic functions

• Pant, Sumit ^[1] ; Kumar Singh, Narendra ^[2] ; Thayat, Suraj Singh ^[2]
  1. [1] Govt. G.N.A. P.G. College
  2. [2] M.B. Govt. P.G. College
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 26, Nº. 2, 2025, págs. 815-825
• Idioma: inglés
• DOI: 10.4995/agt.2025.23324
• Enlaces
  • Texto completo
• Resumen

  • This paper proposes a best proximity point theorem for non-self mappings in complete metric spaces, providing necessary and sufficient conditions for their existence. A fixed point theorem is introduced as a corollary and these results are applied to analytic functions of a complex variable, showcasing their relevance to broader mathematical and applied contexts.

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