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

نویسندگان
Chaudhary, Harindri ID 1
Singh, Ketki ID 2
Singh, Soniya ID 3

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

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

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

doi
10.22075/ijnaa.2023.30206.4364
چکیده

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.

کلیدواژه‌ها
Fixed point theorem, Measure of non-compactness (MNC), Integral equation (FIE)