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Symmetry 2019, 11(2), 198; https://doi.org/10.3390/sym11020198

Common Fixed Point Theorem via Cyclic (α,β)–(ψ,φ)S-Contraction with Applications

1
Department of Mathematics, University of Malakand, Chakdara 18800, Pakistan
2
Department of Mathematics, Çankaya University, Ankara 06790, Turkey
3
Department of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia
*
Authors to whom correspondence should be addressed.
Received: 22 December 2018 / Revised: 31 January 2019 / Accepted: 2 February 2019 / Published: 11 February 2019
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Abstract

In this paper, we introduce the notion of cyclic ( α , β ) ( ψ , φ ) s -rational-type contraction in b-metric spaces, and using this contraction, we prove common fixed point theorems. Our work generalizes many existing results in the literature. In order to highlight the usefulness of our results, applications to functional equations are given. View Full-Text
Keywords: functional equations; common fixed points; b-metric spaces; cyclic-(α,β)-admissible mapping; b-(CLR) property functional equations; common fixed points; b-metric spaces; cyclic-(α,β)-admissible mapping; b-(CLR) property
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Zada, M.B.; Sarwar, M.; Jarad, F.; Abdeljawad, T. Common Fixed Point Theorem via Cyclic (α,β)–(ψ,φ)S-Contraction with Applications. Symmetry 2019, 11, 198.

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