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
  • 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


coupled coincidence point, coupled fixed point, edge preserving, directed graph
Published online: 2016-12-30


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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How to Cite
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, 251-262.