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HomeJournalsSigma Journal of Engineering and Natural Sciences10.62051/ytu.sigma-journal-of-engineering-and-natural-sciences-common-coupled-fixed-point-theorems-for-generalized-nonlinear-contractions-on-me
SJSigma Journal of Engineering and Natural Sciences
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Article Open Access1 January 2018

Common Coupled Fixed Point Theorems for Generalized Nonlinear Contractions on Metric Spaces Involvin

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Esra YOLAÇAN*, Pradip DEBNATH, and Mehmet Ali AKTÜRK

Sigma Journal of Engineering and Natural Sciences 2018, Vol. 36, Issue 2, pp. 419-432; doi.org/10.62051/ytu.sigma-journal-of-engineering-and-natural-sciences-common-coupled-fixed-point-theorems-for-generalized-nonlinear-contractions-on-me

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Abstract

New generalized forms of Banach and Kannan type contractions have been described and some coupled coincidence and coupled common fixed point results have been established in the setting of metric space involving a graph. Our theorems extend and generalize many existing results in the literature. Furthermore, an application to integral equations is presented to affirm the importance.

Keywords: Coupled coincidence point; coupled fixed point; metric space; edge preserving map; connected grap.

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YOLAÇAN, E.; DEBNATH, P.; AKTÜRK, M.A. Common Coupled Fixed Point Theorems for Generalized Nonlinear Contractions on Metric Spaces Involvin. Sigma Journal of Engineering and Natural Sciences 2018, Vol. 36, pp. 419-432. https://doi.org/10.62051/ytu.sigma-journal-of-engineering-and-natural-sciences-common-coupled-fixed-point-theorems-for-generalized-nonlinear-contractions-on-me

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Publication History
Published1 January 2018
Versionv1
AccessOpen Access
10.62051/ytu.sigma-journal-of-engineering-and-natural-sciences-common-coupled-fixed-point-theorems-for-generalized-nonlinear-contractions-on-me
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An Extended Coupled Coincidence Point Theorem and Related ResultsMehmet KIR, Hukmi KIZILTUNÇSigma Journal of Engineering and Natural Sciences, 1 January 2016A Combined Decision Algorithm for Diagnosing Bearing Faults Using Artificial Intelligent TechniquesHüseyin Metin ERTUNÇSigma Journal of Engineering and Natural Sciences, 1 January 2018A Research on the Effect of the Reinforcement Geometry on the Soil Bearing Capacity Under the StripPayam MAJEDI, Semet ÇELİK et al.Sigma Journal of Engineering and Natural Sciences, 1 January 2018
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