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

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.

کلیدواژه ها:

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