Some fixed point results in probabilistic Menger space

Authors

  • Maryam Shams Shahrekord university
  • Shahnaz Jafari Shahrekord university

DOI:

https://doi.org/10.5269/bspm.v35i3.29791

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.

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

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Published

2016-04-30

Issue

Section

Research Articles