Results on fixed points in b-metric space by altering distance functions

N. Seshagiri Rao; Ahmad Aloqaily; Nabil Mlaiki

doi:10.1016/j.heliyon.2024.e33962

Results on fixed points in b-metric space by altering distance functions

N. Seshagiri Rao, Ahmad Aloqaily, Nabil Mlaiki

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Abstract

We discuss the existence of a fixed point for a self mapping and its uniqueness satisfying (ϕ˙,η˙)-generalized contractive condition including altering distance functions of rational terms in an ordered b-metric space. It is also discussed whether the two self-maps under the same contraction condition can be coincident and coupled coincident. The results are backed up by a dearth of numerical examples and application to nonlinear quadratic integral equation.

Original language	English
Article number	e33962
Number of pages	16
Journal	Heliyon
Volume	10
Issue number	14
DOIs	https://doi.org/10.1016/j.heliyon.2024.e33962
Publication status	Published - 30 Jul 2024

Keywords

(ϕ˙,η˙)-weak contraction
Coincidence point
Compatible mappings
Fixed point
Ordered metric spaces

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10.1016/j.heliyon.2024.e33962Licence: CC BY-NC-ND

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Results on fixed points in b-metric space by altering distance functions

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