Document Type : Research Paper
Authors
- Vahid Parvaneh ^{} ^{1}
- Nawab Hussain ^{2}
- Hasan Hosseinzadeh ^{} ^{3}
- Peyman Salimi ^{4}
^{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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