Common fixed point results of a pair of generalized (ψ,ϕ)-contraction mappings in modular spaces

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Authors

Öztürk, Mahpeyker
Abbas, Mujahid
Girgin, Ekber

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SpringerOpen

Abstract

In this paper, we establish the existence of a common fixed point of almost generalized contractions on modular spaces. As an application, we present some fixed and common fixed point results for such mappings on modular spaces endowed with a graph. The existence of fixed and common points of mappings satisfying generalized contractive conditions of integral type is also obtained in such spaces. Some examples are presented to support the results obtained herein. Our results generalize and extend various comparable results in the existing literature.

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Keywords

Modular space, Banach G-contraction, Almost contraction

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Citation

Osturk, M, Abbas, M & Girgin, E 2016, 'Common fixed point results of a pair of generalized (ψ,ϕ)-contraction mappings in modular spaces', Fixed Point Theory and Applications, vol. 2016, art. #19, pp. 1-19.