Common fixed point theorems for two mappings in \(b\)-metric-like spaces

Volume 17, Issue 2, pp 93--99 https://dx.doi.org/10.22436/jnsa.017.02.02

Publication Date: March 29, 2024 Submission Date: November 18, 2023 Revision Date: January 09, 2024 Accteptance Date: February 18, 2024

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Authors

B. M. Najmabadi - Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, P.O. Box 397, Iran. T. L. Shateri - Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, P.O. Box 397, Iran.

Abstract

The concept of \(b\)-metric-like space is a generalization of the notions of partial metric space, metric-like space and \(b\)-metric space. In the present paper, we establish the existence and uniqueness of common fixed points in a \(b\)-metric-like space. Then we derive some common fixed point results in partial metric spaces, metric-like spaces, and \(b\)-metric spaces.

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Keywords

• Common fixed point
• \(b\)-metric-like space
• partial metric space

MSC

•  47H10
•  54H25

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