$C$-class functions on common fixed point theorems for weak‎ ‎contraction mapping of integral type in modular spaces

الموضوعات :

H. A. Hammad ¹ , R. A. Rashwan ² , A. H. Ansari ³

1 - Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt
2 - Department of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt
3 - Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

تاريخ الإرسال : 09 الأحد , شعبان, 1440 تاريخ التأكيد : 23 الأربعاء , شوال, 1440 تاريخ الإصدار : 04 الأحد , ربيع الثاني, 1441

الکلمات المفتاحية: Common fixed point, modular spaces, ρ−compatible maps, comparison function, Lebesgue-Stieltjes integrable mapping, $C$-class functions,

ملخص المقالة :

‎In this paper‎, ‎we use the concept of $C$-class functions introduced‎‎by Ansari [4] to prove the existence and uniqueness of‎‎common fixed point for self-mappings in modular spaces of integral‎‎inequality‎. ‎Our results extended and generalized previous known‎‎results in this direction‎.

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