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

Mehmet Kir; Esra Yolacan; Hukmi Kiziltunc

Open Mathematics (2017)

  • Volume: 15, Issue: 1, page 734-744
  • ISSN: 2391-5455

Abstract

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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.

How to cite

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Mehmet Kir, Esra Yolacan, and Hukmi Kiziltunc. "Coupled fixed point theorems in complete metric spaces endowed with a directed graph and application." Open Mathematics 15.1 (2017): 734-744. <http://eudml.org/doc/288326>.

@article{MehmetKir2017,
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.},
author = {Mehmet Kir, Esra Yolacan, Hukmi Kiziltunc},
journal = {Open Mathematics},
keywords = {Coupled coincidence point; Coupled fixed point; Edge preserving; Directed graph},
language = {eng},
number = {1},
pages = {734-744},
title = {Coupled fixed point theorems in complete metric spaces endowed with a directed graph and application},
url = {http://eudml.org/doc/288326},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Mehmet Kir
AU - Esra Yolacan
AU - Hukmi Kiziltunc
TI - Coupled fixed point theorems in complete metric spaces endowed with a directed graph and application
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 734
EP - 744
AB - 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.
LA - eng
KW - Coupled coincidence point; Coupled fixed point; Edge preserving; Directed graph
UR - http://eudml.org/doc/288326
ER -

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