Parvaneh, V., Hussain, N., Hosseinzadeh, H., Salimi, P. (2017). Coupled fixed point results for $\alpha$-admissible Mizoguchi-Takahashi contractions in $b$-metric spaces with applications. Sahand Communications in Mathematical Analysis, 07(1), 85-104. doi: 10.22130/scma.2017.25889

Vahid Parvaneh; Nawab Hussain; Hasan Hosseinzadeh; Peyman Salimi. "Coupled fixed point results for $\alpha$-admissible Mizoguchi-Takahashi contractions in $b$-metric spaces with applications". Sahand Communications in Mathematical Analysis, 07, 1, 2017, 85-104. doi: 10.22130/scma.2017.25889

Parvaneh, V., Hussain, N., Hosseinzadeh, H., Salimi, P. (2017). 'Coupled fixed point results for $\alpha$-admissible Mizoguchi-Takahashi contractions in $b$-metric spaces with applications', Sahand Communications in Mathematical Analysis, 07(1), pp. 85-104. doi: 10.22130/scma.2017.25889

Parvaneh, V., Hussain, N., Hosseinzadeh, H., Salimi, P. Coupled fixed point results for $\alpha$-admissible Mizoguchi-Takahashi contractions in $b$-metric spaces with applications. Sahand Communications in Mathematical Analysis, 2017; 07(1): 85-104. doi: 10.22130/scma.2017.25889

Coupled fixed point results for $\alpha$-admissible Mizoguchi-Takahashi contractions in $b$-metric spaces with applications

^{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.

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