Contents V.16 N.1 2025

  • F-KANNAN MAPPINGS IN NON-TRIANGULAR METRIC SPACES AND APPLICATIONS TO INTEGRAL AND FRACTIONAL CALCULUS
    P. GOEL, D. SINGH, D. GOPAL, H. AYDI (pp. 19-43)
    10.30546/2219-1259.16.1.2025.19

    • Abstract.

    In this article, we present some new fixed point results for F-Kannan contraction mappings in non-triangular metric spaces. As a part of applications, the claimed results are synthesized by the existence and the uniqueness of the solution of a general Volterra integral equation and a fractional differential equation along with a fractional differential operator in Riemann-Liouville sense. We have also designated examples to support our results.

    Keywords:

    F-Kannan mapping, non-triangular metric space, fixed point, Volterra integral equation, Riemann-Liouville fractional derivative.

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