Fixed Point Results for Generalized ?-Contractions in Modular b -Metric Spaces with Applications

Vahid Parvaneh, Nawab Hussain, Maryam Khorshidi, Nabil Mlaiki and Hassen Aydi
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Vahid Parvaneh: Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran
Nawab Hussain: Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Maryam Khorshidi: Department of Mathematics, Firouzabad Institute of higher education, Firouzabad, Fars, Iran
Nabil Mlaiki: Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabi
Hassen Aydi: Université de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia

Mathematics, 2019, vol. 7, issue 10, 1-16

Abstract: The aim of this paper is to generalize the F -contractive condition in the framework of α − ν -complete modular b -metric spaces. Some results in ordered modular b -metric spaces are also presented. Moreover, an illustrative example and some related applications are presented to support the obtained results.

Keywords: fixed point; modular b -metric space; ?-contraction (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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