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On a new integral type contraction and coupled fixed point theorems in metric spaces with applications to system of integral equations | ||
Caspian Journal of Mathematical Sciences | ||
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 08 مهر 1404 | ||
نوع مقاله: Research Articles | ||
شناسه دیجیتال (DOI): 10.22080/cjms.2025.29670.1768 | ||
نویسندگان | ||
S.H. Rasouli* 1؛ Azzam Azeez Alzwaihm2؛ A. Babakhani2 | ||
1Babol Noshirvani University of Technology | ||
2Department of Mathematics, Faculty of Basic Sciences, Babol Noshirnani University of Technology, Shariati Avenue,P. O. Box 484, Babol, Iran | ||
تاریخ دریافت: 21 تیر 1404، تاریخ پذیرش: 25 شهریور 1404 | ||
چکیده | ||
This paper introduces a new type of integral contraction in metric spaces and establish coupled fixed point theorems under this new contraction condition. The presented results generalize and extend several existing theorems in the literature, particularly those involving integral-type contractions. We demonstrate the applicability of our results by providing an example and outlining potential applications in solving systems of integral equations. | ||
کلیدواژهها | ||
Integral type contraction؛ Coupled fixed point؛ Systems of integral equations | ||
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