Existence of common fixed point for b-metric rational type contraction

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Authors

Abbas, Mujahid
Chema, CImran Zulfiqar
Razani, Abdolrahman

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University of Nis, Serbia, Faculty of Sciences and Mathematics

Abstract

The necessary conditions for existence of a common fixed point of two mappings satisfying generalized b-order contractive condition in the setting of a partially ordered b-complete b-metric space are presented. Also, we study well-posedness of common fixed point problem for generalized b-order contractive mappings. We employ our result to establish an existence of a solution of an integral equation.

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Keywords

Common fixed point, Compatible maps, b-Metric space, Partially ordered set

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Citation

Abbas, M, Chema, IZ & Razani, A 2016, 'Existence of common fixed point for b-metric rational type contraction', Filomat, vol. 30, no. 6, pp. 1413-1429.