Fixed points of set-valued mappings in Menger probabilistic metric spaces endowed with an amorphous binary relation

• Prasad, Gopi ^[1] ; Deshwal, Sheetal ^[1] ; Srivastav, Rupesh K. ^[1]
  1. [1] Dr. Shivanand Nautiyal Government Post Graduate College
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 24, Nº. 2, 2023, págs. 307-322
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • In this paper, we prove the existence of fixed point results for set-valued mappings in Menger probabilistic metric spaces equipped with an amorphous binary relation and a Hadžić -type t-norm. For the usability of such findings we present a Kelisky-Rivlin type result for a class of Bernstein type special operators introduced by Deo et. al. [Appl. Math. Comput. 201, (2008), 604-612 ] on the space C([ 0, n/n+1]). In this way, these investigations extend, modify and generalize some prominent recent fixed point results of the existing literature.