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

نویسندگان

  • Hasan Hosseinzadeh Department of Mathematics, Ardebil Branch, Islamic Azad University, Ardebil, Iran.
  • Nawab Hussain Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia.
  • Peyman Salimi Peyman Salimi: Young Researchers and Elite Club, Rasht Branch,Islamic Azad University, Rasht, Iran.
  • Vahid Parvaneh Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran.
چکیده مقاله:

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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عنوان ژورنال

دوره 07  شماره 1

صفحات  85- 104

تاریخ انتشار 2017-07-01

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