New distance in cone \(S\)-metric spaces and common fixed point theorems

Volume 26, Issue 4, pp 368--378 http://dx.doi.org/10.22436/jmcs.026.04.05

Publication Date: January 06, 2022 Submission Date: August 14, 2021 Revision Date: November 05, 2021 Accteptance Date: November 29, 2021

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Authors

Z. M. Fadail - Department of Mathematics, Faculty of Education, Thamar University, 87246, Thamar, Republic of Yemen. A. Savic - School of Electrical and Computer Engineering, Academy of Technical and Art Applied Studies , Belgrade, Serbia. S. Radenovic - Faculty of Mechanical Engineering , University of Belgrade, Kraljice Marije 16, Belgrade, Serbia.

Abstract

In this work, we define a new distance called \(c_s\)-distance in a cone \(S\)-metric space with some properties. Then, we prove some common fixed point and fixed point theorems for self-mappings with this distance. After that, we obtain some common fixed point and fixed point results in the setting of cone \(S\)-metric spaces. We give some examples to support our work.

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Keywords

• Cone \(S\)-metric spaces
• \(c_s\)-distance
• common fixed points
• fixed points

MSC

•  47H10
•  54H25

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