Feng–Liu-type fixed point result in orbital b-metric spaces and application to fractal integral equation
Articles
Hemant Kumar Nashine
Ton Duc Thang University
https://orcid.org/0000-0002-0250-9172
Lakshmi Kanta Dey
National Institute of Technology Durgapur
https://orcid.org/0000-0001-5389-6048
Rabha W. Ibrahim
Ajman University
https://orcid.org/0000-0001-9341-025X
Stojan Radenović
University of Belgrade
Published 2021-05-01
https://doi.org/10.15388/namc.2021.26.22497
PDF

Keywords

b-metric space
F-contraction
fixed point of a multivalued mapping
orbitally lower semicontinuous

How to Cite

Nashine H. K., Dey L. K., Ibrahim R. W. and Radenović S. (2021) “Feng–Liu-type fixed point result in orbital b-metric spaces and application to fractal integral equation”, Nonlinear Analysis: Modelling and Control, 26(3), pp. 522-533. doi: 10.15388/namc.2021.26.22497.

Abstract

In this manuscript, we establish two Wardowski–Feng–Liu-type fixed point theorems for orbitally lower semicontinuous functions defined in orbitally complete b-metric spaces. The obtained results generalize and improve several existing theorems in the literature. Moreover, the findings are justified by suitable nontrivial examples. Further, we also discuss ordered version of the obtained results. Finally, an application is presented by using the concept of fractal involving a certain kind of fractal integral equations. An illustrative example is presented to substantiate the applicability of the obtained result in reducing the energy of an antenna.

PDF
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Please read the Copyright Notice in Journal Policy

Most read articles by the same author(s)