Common Fixed Point Results of ( ? ? ?, ? )-Contractions for a Pair of Mappings and Applications

Nawab Hussain, Stojan Radenovi’c and Kastriot Zoto
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Nawab Hussain: Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Stojan Radenovi’c: Department of Mathematics, College of Science, King Saud University, P.O. Box 2455 Riyadh, Saudi Arabia
Kastriot Zoto: Department of Mathematics and Computer Sciences, Faculty of Natural Sciences, University of Gjirokastra, Gjirokastra 6001, Albania

Mathematics, 2018, vol. 6, issue 10, 1-17

Abstract: In this paper, we prove some fixed point theorems in a b -metric-like space setting using a new class of admissible mappings and types of α − k and ( ψ , ? )-contractive conditions. Our results are supported by the application of finding solutions of integral equations and generalizing some well-known results of the literature.

Keywords: ? s p -admissible pair; ( ? s p ? ? , ? )-contractive mapping; b -metric-like space; fixed point (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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