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.
@article{bwmeta1.element.doi-10_1515_math-2017-0062,
author = {Mehmet Kir and Esra Yolacan and Hukmi Kiziltunc},
title = {Coupled fixed point theorems in complete metric spaces endowed with a directed graph and application},
journal = {Open Mathematics},
volume = {15},
year = {2017},
pages = {734-744},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0062}
}
Mehmet Kir; Esra Yolacan; Hukmi Kiziltunc. Coupled fixed point theorems in complete metric spaces endowed with a directed graph and application. Open Mathematics, Tome 15 (2017) pp. 734-744. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0062/