Applied General Topology (Oct 2023)

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

  • Gopi Prasad,
  • Sheetal Deshwal,
  • Rupesh K. Srivastav

DOI
https://doi.org/10.4995/agt.2023.18993
Journal volume & issue
Vol. 24, no. 2
pp. 307 – 322

Abstract

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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.

Keywords