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

Journal of Linear and Topological Algebra

مقاله 6، دوره 08، شماره 04، اسفند 2019، صفحه 265-285   

نوع مقاله: Research Paper

نویسندگان

H. A. Hammad^{* 1}؛ R. A. Rashwan²؛ A. H. Ansari³

¹Department of Mathematics‎, ‎Faculty of Science‎, ‎Sohag University‎, ‎Sohag‎ ‎82524‎, ‎Egypt

²Department of Mathematics‎, ‎Faculty of Science‎, ‎Assuit University‎, ‎Assuit 71516‎, ‎Egypt

³Department of Mathematics‎, ‎Karaj Branch‎, ‎Islamic Azad University‎, ‎Karaj‎, ‎Iran

چکیده

‎In this paper‎, ‎we use the concept of $C$-class functions introduced‎ ‎by Ansari [4] to prove the existence and uniqueness of‎ ‎common fixed point for self-mappings in modular spaces of integral‎ ‎inequality‎. ‎Our results extended and generalized previous known‎ ‎results in this direction‎.

کلیدواژه‌ها

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

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