Results on fixed points in <i>b</i>-metric space by altering distance functions.

Seshagiri Rao, N; Aloqaily, Ahmad; Mlaiki, Nabil

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

Seshagiri Rao, N; Aloqaily, Ahmad; Mlaiki, Nabil.

Afiliación

Seshagiri Rao N; Department of Mathematics & Statistics, School of Applied Science & Humanities, Vignan's Foundation for Science, Technology & Research, Vadlamudi-522213, Guntur, Andhra Pradesh State, India.
Aloqaily A; Department of Mathematics and Sciences, Prince Sultan University, Riyadh-11586, Saudi Arabia.
Mlaiki N; School of Computer, Data and Mathematical Sciences, Western Sydney University, Sydney-2150, Australia.

Heliyon ; 10(14): e33962, 2024 Jul 30.

Article en En | MEDLINE | ID: mdl-39108853

ABSTRACT

ABSTRACT

We discuss the existence of a fixed point for a self mapping and its uniqueness satisfying ( Ï Ë , Î· Ë ) -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.

Palabras clave

<ns0:math> <mo>(</mo> <mover> <mrow> <mi>Ï</mi> </mrow> <mrow> <mo>Ë</mo> </mrow> </mover> <mo>,</mo> <mover> <mrow> <mi>Î·</mi> </mrow> <mrow> <mo>Ë</mo> </mrow> </mover> <mo>)</mo> </math>-weak contraction; 47H10; 54H25; Coincidence point; Compatible mappings; Fixed point; Ordered metric spaces

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Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Idioma: En Revista: Heliyon Año: 2024 Tipo del documento: Article País de afiliación: India Pais de publicación: Reino Unido

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