On Fixed Point of Monotone \((\alpha,\beta)\)-Nonexpansive Mappings in Ordered Hyperbolic Metric Spaces

Authors

  • Kiran Dewangan Department of Mathematics, Government Dudhadhari Bajrang Girls’ Postgraduate Autonomous College (affiliated to Pt. Ravishakar Shukla University), Raipur 492001, Chhattisgarh, India https://orcid.org/0000-0001-6971-4552

DOI:

https://doi.org/10.26713/cma.v15i1.2347

Keywords:

Fixed point, \((\alpha,\beta)\)-nonexpansive mapping, Hyperbolic space

Abstract

This paper is concerned with convergence and \(\Delta\)-convergence of a sequence generated by Picard-Mann hybrid iteration scheme for monotone \((\alpha,\beta)\)-nonexpansive type mappings in ordered hyperbolic metric spaces along with some fixed point results. An application in \(L_{1}([0,1])\) space is discussed here.

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References

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Published

24-04-2024
CITATION

How to Cite

Dewangan, K. (2024). On Fixed Point of Monotone \((\alpha,\beta)\)-Nonexpansive Mappings in Ordered Hyperbolic Metric Spaces. Communications in Mathematics and Applications, 15(1), 81–94. https://doi.org/10.26713/cma.v15i1.2347

Issue

Vol. 15 No. 1 (2024)

Section

Research Article

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