International Journal of Nonlinear Analysis and Applications

Existence of solutions for stochastic functional integral equations via Petryshyn’s fixed point theorem

Document Type : Research Paper

Authors

1 Department of Mathematics, Deshbandhu College, University of Delhi, New Delhi, India

2 Department of Applied Mathematics and Scientific Computing, IIT Roorkee, Roorkee-247667, India

Abstract

The purpose of this paper is to analyze the solvability of a class of stochastic functional integral equations by utilizing the measure of non-compactness with Petryshyn’s fixed point theorem in a Banach space. The results obtained in this paper cover numerous existing results concluded under some weaker conditions by many authors. An example is given to support our main theorem.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 15, Issue 9
September 2024
Pages 13-22
  • Receive Date: 16 March 2023
  • Revise Date: 23 May 2023
  • Accept Date: 29 May 2023