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Existence of solutions of system of functional-integral equations using measure of noncompactness | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 46، دوره 12، شماره 1، مرداد 2021، صفحه 583-595 اصل مقاله (150.66 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.4847 | ||
| نویسندگان | ||
| Hemant Kumar Nashine* 1؛ Reza Arab2؛ Ravi Agarwal3 | ||
| 1Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore-632014, TN, INDIA | ||
| 2Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran | ||
| 3Department of Mathematics, Texas A \& M University - Kingsville - 78363-8202, Texas, USA | ||
| تاریخ دریافت: 01 آبان 1397، تاریخ بازنگری: 27 آذر 1398، تاریخ پذیرش: 16 تیر 1399 | ||
| چکیده | ||
| We propose to investigate the solutions of system of functional-integral equations in the setting of measure of noncompactness on real-valued bounded and continuous Banach space. To achieve this, we first establish some new Darbo type fixed and coupled fixed point results for $\mu$-set $(\omega,\vartheta)$-contraction operator using arbitrary measure of noncompactness in Banach spaces. An example is given in support for the solutions of a pair of system of functional-integral equations. | ||
| کلیدواژه‌ها | ||
| Fixed point؛ Coupled fixed point؛ Measure of noncompactness؛ Functional-integral equations | ||
| مراجع | ||
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