Some fixed point results in probabilistic Menger space

  • Maryam Shams Shahrekord university
  • Shahnaz Jafari Shahrekord university
Keywords: Continuous t-norm, Probabilistic Menger space, Voltra integral equation, α − β-contractive mapping

Abstract

In this paper, we define the concept of α − β-contractive mapping in probabilistic Menger space and prove some fixed point theorems for such mapping. Some examples are given to support the obtained results.

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Author Biographies

Maryam Shams, Shahrekord university

Assistant Professor

Department of pure Mathematics,

Faculty of Mathematical Sciences,

Shahrekord University
Shahnaz Jafari, Shahrekord university

PhD Candidate

Department of pure Mathematics,

Faculty of Mathematical Sciences,

Shahrekord University

Published
2016-04-30
Section
Articles