The weight inequalities on Reich type theorem in \(b\)-metric spaces

Volume 19, Issue 1, pp 51--57 http://dx.doi.org/10.22436/jmcs.019.01.07

Publication Date: March 06, 2019 Submission Date: December 08, 2018 Revision Date: February 14, 2019 Accteptance Date: February 20, 2019

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Authors

Zoran D. Mitrović - Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam. Hassen Aydi - Department of Mathematics, College of Education in Jubail, Imam Abdulrahman Bin Faisal University, P. O. 12020, Industrial Jubail 31961, Saudi Arabia. Mohd Salmi Md Noorani - School of mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM, Selangor Darul Ehsan, Malaysia. Haitham Qawaqneh - School of mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM, Selangor Darul Ehsan, Malaysia.

Abstract

In this note, we give a generalization of the Reich type theorem in \(b\)-metric spaces by using weight inequalities. Here, the existence of nonunique fixed points is ensured. Other known fixed point results in the literature are derived.

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Keywords

• Fixed point
• \(b\)-metric space
• weight inequalities

MSC

•  47H10
•  54H25

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