Common fixed point results of a pair of generalized (ψ,ϕ)-contraction mappings in modular spaces
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Date
Authors
Öztürk, Mahpeyker
Abbas, Mujahid
Girgin, Ekber
Journal Title
Journal ISSN
Volume Title
Publisher
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.
Description
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.