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

100%

Kir M., Yolacan E., Kiziltunc H.

Open Mathematics

2017

tom 15

nr 1

734-744

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.

Coupled fixed point theorems for (α, φ)g-contractive type mappings in partially ordered G-metric spaces

88%

Chen J., Huang X.

Open Mathematics

2015

tom 13

nr 1

In this paper, we introduce a new concept of (α, φ)g-contractive type mappings and establish coupled coincidence and coupled common fixed point theorems for such mappings in partially ordered G-metric spaces. The results on fixed point theorems are generalizations of some existing results.We also give some examples to illustrate the usability of the obtained results.

Ograniczanie wyników

2 Open Mathematics

1 Chen J.

1 Huang X.

1 Kir M.

1 Kiziltunc H.

1 Yolacan E.

1 2017

1 2015

Wyniki wyszukiwania

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

Coupled fixed point theorems for (α, φ)g-contractive type mappings in partially ordered G-metric spaces