Common fixed point results under w-distance with applications to nonlinear integral equations and nonlinear fractional differential equations

Authors

  • D. Ramesh Kumar Vellore Institute of Technology

DOI:

https://doi.org/10.1515/ms-2021-0068

Keywords:

common fixed point, w-distance, altering distance function, integral equation, fractional differential equation

Abstract

In this article, we prove some new common fixed point results under the generalized contraction condition using w-distance and weak altering distance functions. Also, the validity of the results is demonstrated by an example along with numerical experiment for approximating the common fixed point. Later, as applications, the unique common solutions for the system of nonlinear Fredholm integral equations, nonlinear Volterra integral equations and nonlinear fractional differential equations of Caputo type are derived.

Author Biography

  • D. Ramesh Kumar, Vellore Institute of Technology

    Department of Mathematics
    School of Advanced Sciences
    Vellore Institute of Technology
    Vellore - 632 014, Tamil Nadu
    INDIA

Published

2021-12-10

Issue

Section

Articles - Other topics