On a probabilistic version of Meir-Keeler type fixed point theorem for a family of discontinuous operators

• Bisht, Ravindra K. ^[1] ; Rakocević, Vladimir ^[2]
  1. [1] National Defence Academy

     National Defence Academy

     India

     
  2. [2] University of Nis

     University of Nis

     Serbia

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 22, Nº. 2, 2021, págs. 435-446
• Idioma: inglés
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• Resumen

  • A Meir-Keeler type fixed point theorem for a family of mappings is proved in Menger probabilistic metric space (Menger PM-space). We establish that completeness of the space is equivalent to fixed point property for a larger class of mappings that includes continuous as well as discontinuous mappings. In addition to it, a probabilistic fixed point theorem satisfying (ϵ - δ) type non-expansive mappings is established.