On existence of solutions for some functional integral equations in Banach algebra by fixed point theorem | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 35، دوره 13، شماره 1، خرداد 2022، صفحه 451-466 اصل مقاله (357.03 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.23635.2570 | ||
| نویسنده | ||
| Manochehr Kazemi* | ||
| Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran | ||
| چکیده | ||
| In this research, we analyze the existence of solution for some nonlinear functional integral equations using the techniques of measures of noncompactness and the Petryshyn's fixed point theorem in Banach space. The results obtained in this paper cover many existence results obtained by numerous authors under some weaker conditions. We also give an example satisfying the conditions of our main theorem but not satisfying the conditions described by other authors. | ||
| کلیدواژهها | ||
| Functional integral equations؛ Existence of solution؛ Measures of noncompactness؛ Petryshyn's fixed point theorem | ||
| مراجع | ||
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