Coincidence point theorems for $\varphi$-$\psi$-contraction mappings in metric spaces involving a graph

E. Yolacan; H. Kiziltunc; M. Kir

doi:10.15330/cmp.8.2.251-262

Coincidence point theorems for $\varphi$-$\psi$-contraction mappings in metric spaces involving a graph

E. Yolacan Republic of Turkey Ministry of National Education, 98 Ataturk Bulvari, Ankara, Turkey https://orcid.org/0000-0002-1655-0993
H. Kiziltunc Department of Mathematics, Faculty of Sciences, Ataturk University, 25240, Erzurum, Turkey
M. Kir Department of Civil Engineering, Engineering Faculty, Sirnak University, 73000, Sirnak, Turkey

https://doi.org/10.15330/cmp.8.2.251-262

Keywords: coupled coincidence point, coupled fixed point, edge preserving, directed graph

Published online: 2016-12-30

Abstract

Some new coupled coincidence and coupled common fixed point theorems for $\varphi$-$\psi$-contraction mappings are established. We have also an application to some integral system to support the results.

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Yolacan E., Kiziltunc H., Kir M. Coincidence Point Theorems for $\varphi$-$\psi$-Contraction Mappings in Metric Spaces Involving a Graph. Carpathian Math. Publ. 2016, 8 (2), 251-262.

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