Fixed points for cyclic R-contractions and solution of nonlinear Volterra integro-differential equations

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Authors

Abbas, Mujahid
Latif, Abdul
Suleiman, Yusuf I.

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Publisher

SpringerOpen

Abstract

In this paper, we introduce the notion of cyclic R-contraction mapping and then study the existence of fixed points for such mappings in the framework of metric spaces. Examples and application are presented to support the main result. Our result unify, complement, and generalize various comparable results in the existing literature.

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Keywords

Fixed point, Cyclic contractions, Meer-Keeler functions, Simulations functions, R-Contractions

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Citation

Abbas, M, Latif, A & Suleiman, YI 2016, 'Fixed points for cyclic R-contractions and solution of nonlinear Volterra integro-differential equations', Fixed Point Theory and Applications, vol. 2016, art. #61, pp. 1-9.