Boyd-Wong contractions in F-metric spaces and applications

• Bera, Ashis ^[1] ; Dey, Lakshmi Kanta ^[1] ; Som, Sumit ^[1] ; Garai, Hiranmoy ^[1] ; Sintunavarat, Wutiphol ^[2]
  1. [1] National Institute Of Technology

     National Institute Of Technology

     Japón

     
  2. [2] Thammasat University

     Thammasat University

     Tailandia

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 23, Nº. 1, 2022, págs. 157-167
• Idioma: inglés
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• Resumen

  • The main aim of this paper is to  study the Boyd-Wong type fixed point result in the  F-metric context and apply it to obtain  some existence and uniqueness criteria of solution(s) to a second order initial value problem and a Caputo fractional differential equation. We substantiate our obtained result  by finding a suitable non-trivial example.