Document Type : Research Paper

Authors

1 Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran.

2 Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia.

3 Department of Mathematics, Ardebil Branch, Islamic Azad University, Ardebil, Iran.

4 Peyman Salimi: Young Researchers and Elite Club, Rasht Branch,Islamic Azad University, Rasht, Iran.

Abstract

The aim of this paper is to  establish some fixed point theorems for $\alpha$-admissible Mizoguchi-Takahashi contractive mappings defined on a ${b}$-metric space which generalize the results of Gordji and Ramezani \cite{Roshan6}. As a result, we obtain some coupled fixed point theorems which generalize the results of '{C}iri'{c} {et al.} \cite{Ciric3}. We also present  an application in order to illustrate the effectiveness of our results.

Keywords

Main Subjects

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