Existence of solutions for stochastic functional integral equations via Petryshyn’s fixed point theorem | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 2، دوره 15، شماره 9، آذر 2024، صفحه 13-22 اصل مقاله (389.33 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.30206.4364 | ||
| نویسندگان | ||
| Ketki Singh1؛ Harindri Chaudhary1؛ Soniya Singh* 2 | ||
| 1Department of Mathematics, Deshbandhu College, University of Delhi, New Delhi, India | ||
| 2Department of Applied Mathematics and Scientific Computing, IIT Roorkee, Roorkee-247667, India | ||
| 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) | ||
| مراجع | ||
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