Author/Authors :
Parvaneh Vahid نويسنده Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran. , Hussain Nawab نويسنده Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia. , Hosseinzadeh Hasan نويسنده Department of Mathematics, Ardebil Branch, Islamic Azad University, Ardebil, Iran. , Salimi Peyman نويسنده 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 ʹ{C}iriʹ{c} {et al.} cite{Ciric3}. We also present an application in order to illustrate the effectiveness of our results.
