F-HR-type contractions on (\(\alpha,\eta\))-complete rectangular b-metric spaces

Volume 10, Issue 3, pp 1030--1043 http://dx.doi.org/10.22436/jnsa.010.03.14

Publication Date: March 20, 2017 Submission Date: April 10, 2016

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Authors

Nawab Hussain - Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia. Vahid Parvaneh - Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran. Badria A. S. Alamri - Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia. Zoran Kadelburg - Faculty of Mathematics, University of Belgrade, Studentski trg 16, 11000 Beograd, Serbia.

Abstract

The aim of this paper is to present some fixed point results for generalized Wardowski-type contractions in the framework of (\(\alpha,\eta\))-complete rectangular b-metric spaces. We also derive certain fixed point results for generalized F-contractions in rectangular b-metric spaces endowed with a graph or a partial order. Moreover, an illustrative example is presented to support the obtained results.

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Keywords

• b-metric space
• rectangular metric space
• Hardy-Rogers condition
• F-contraction
• admissible mappings
• property P.

MSC

•  47H10
•  54H25

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