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Coupled fixed point theorems in complete metric spaces endowed with a directed graph and application

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Abstract The purpose of this paper is to present some existence results for coupled fixed point of a (φ,ψ) —contractive condition for mixed monotone operators in metric spaces endowed with… Click to show full abstract

Abstract The purpose of this paper is to present some existence results for coupled fixed point of a (φ,ψ) —contractive condition for mixed monotone operators in metric spaces endowed with a directed graph. Our results generalize the results obtained by Jain et al. in (International Journal of Analysis, Volume 2014, Article ID 586096, 9 pages). Moreover, we have an application to some integral system to support the results.

Keywords: coupled fixed; spaces endowed; metric spaces; directed graph; endowed directed; fixed point

Journal Title: Open Mathematics
Year Published: 2017

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