Fixed point results for Su-type contractive mappings with an application

Journal of Linear and Topological Algebra

مقاله 4، دوره 09، شماره 01، خرداد 2020، صفحه 53-65   

نوع مقاله: Research Paper

نویسندگان

A. Ali¹؛ H. Işık^{* 2}؛ F. Uddin¹؛ M. Arshad¹

¹Department of Mathematics and Statistics‎, ‎International Islamic University‎, ‎Islamabad‎, ‎Pakistan

²Department of Mathematics‎, ‎Faculty of Science and Arts‎, ‎Mus Alparslan University‎, ‎Mus 49250‎, ‎Turkey

چکیده

‎In this paper‎, ‎we introduce the concept of Su-type contractive mapping and establish fixed point theorems for such mappings in the setting of ordered‎ ‎extended partial $b$-metric space‎. ‎We also develop an‎ ‎application for Fredholm type integral equations to‎ ‎validate our main result and a non-trivial example is given to‎ ‎elucidate our work.

کلیدواژه‌ها

Altering distance function‎؛ ‎Su-type contraction‎؛ ‎extended partial $b$-metric space‎؛ ‎integral equation

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