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

Subject Areas : Fixed point theory

A. Ali ¹ , H. Işık ² , F. Uddin ³ , M. Arshad ⁴

1 - Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan
2 - Department of Mathematics, Faculty of Science and Arts, Mus Alparslan University, Mus 49250, Turkey
3 - Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan
4 - Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan

Received: 2019-11-04 Accepted : 2020-03-18 Published : 2020-03-01

Keywords: Altering distance function‎, ‎Su-type contraction‎, ‎extended partial $b$-metric space‎, ‎integral equation,

Abstract :

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

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