• Title of article

    New Fixed Point Results for Some Rational Contraction on (ϕ, ψ)-Metric Spaces

  • Author/Authors

    Taleb ، Mohammed M.A. Department of Mathematics - Science College - Swami Ramanand Teerth Marathwada University , Borkar ، V.C Department of Mathematics - Swami Ramanand Teerth Marathwada University

  • From page
    47
  • To page
    66
  • Abstract
    In this article, we define  generalized (φ, σ, γ)-rational contraction, generalized (αβ, φθ, F )-rational contraction and es-tablish some new fixed point results in (ϕ, ψ)-metric space. We also present instances to support our main results. We will use the results we obtained to investigate the existence and uniqueness of solutions to first-order differential equations.
  • Keywords
    Fixed point , (ϕ , ψ) , metric space , Generalized (φ , σ , γ) , rational contraction , Generalized (αβ , φθ , F ) , rational contraction , First order differ , ential equations.
  • Journal title
    Sahand Communications in Mathematical Analysis
  • Journal title
    Sahand Communications in Mathematical Analysis
  • Record number

    2754327