Fixed Point Results for Cirić and Almost Contractions in Convex b -Metric Spaces

Savita Rathee, Anshuka Kadyan, Anil Kumar and Kenan Tas
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Savita Rathee: Department of Mathematics, Maharshi Dayanand University, Rohtak 124001, Haryana, India
Anshuka Kadyan: Department of Mathematics, Maharshi Dayanand University, Rohtak 124001, Haryana, India
Anil Kumar: Department of Mathematics, Government College for Women Sampla, Rohtak 124501, Haryana, India
Kenan Tas: Department of Mathematics, Usak University, Bir Eylul Campus, Usak 64200, Turkey

Mathematics, 2022, vol. 10, issue 3, 1-21

Abstract: We establish a fixed point theorem for Cirić contraction in the context of convex b -metric spaces. Furthermore, we ensure that there is a fixed point for the maps satisfying the condition (B) (a kind of almost contraction) in convex b -metric spaces and demonstrate its uniqueness as well. Supporting examples to substantiate the generality of the proved results are given.

Keywords: b -metric spaces; convex metric spaces; almost contraction (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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