Some fixed point theorems for weakly compatible mappings in Non-Archimedean Menger probabilistic metric spaces via common limit range property

  • Sunny Chauhan R.H. Government Postgraduate College, Kashipur, 244713, (U.S. Nagar), Uttarakhand, India.
  • Jelena Vujakovic Faculty of Sciences and Mathematics, Lole Ribara 29, 38 200 Kosovska Mitrovica, Serbia.
Keywords: t-norm, Non-Archimedean Menger PM-space, weakly compatible mappings, common limit range property, fixed point.

Abstract

In this paper, we utilize the notion of common limit range property in Non-Archimedean Menger PM-spaces and prove some fixed point theorems for two pairs of weakly compatible mappings. Some illustrative examples are furnished to support our results. As an application to our main result, we present a common fixed point theorem for four finite families of self mappings. Our results improve and extend several known results existing in the literature.

Author Biography

Jelena Vujakovic, Faculty of Sciences and Mathematics, Lole Ribara 29, 38 200 Kosovska Mitrovica, Serbia.
Mathematics
Published
2013-10-21
Section
Articoli