• Title of article

    Solutions of initial and boundary value problems via F-contraction mappings in metric-like space

  • Author/Authors

    Kumar Nashine, Hemant Department of Mathematics Texas A & M University - Kingsville - Texas, USA , Gopal, Dhananjay Department of Applied Mathematics & Humanities - S.V. National Institute of Technology - Gujarat, India , Jain, Dilip Department of Applied Mathematics & Humanities - S.V. National Institute of Technology - Gujarat, India , Al-Rawashdeh, Ahmed Department of Mathematics - United Arab Emirates University, UAE

  • Pages
    17
  • From page
    129
  • To page
    145
  • Abstract
    We present suffcient conditions for the existence of solutions of second-order two-point boundary value and fractional order functional differential equation problems in a space where self-distance is not necessarily zero. For this, first we introduce a Ciric type generalized F-contraction and F- Suzuki contraction in a metric-like space and give relevance to fixed point results. To illustrate our results, we give throughout the paper some examples.
  • Keywords
    Metric-like space , fixed point , F-contraction , boundary value problem
  • Journal title
    Astroparticle Physics
  • Serial Year
    2018
  • Record number

    2442460