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Advancements in Hybrid Fixed Point Results and F-Contractive Operators.

Authors :
Ogbumba, Rosemary O.
Shagari, Mohammed Shehu
Alansari, Monairah
Khalid, Thwiba A.
Mohamed, Elsayed A. E.
Bakery, Awad A.
Source :
Symmetry (20738994). Jun2023, Vol. 15 Issue 6, p1253. 17p.
Publication Year :
2023

Abstract

The aim of this manuscript is to introduce a novel concept called Jaggi-type hybrid (ϕ - F) -contraction and establish some fixed point results for this class of contractions in the framework of G-metric space. The validity of the main result is shown by a suitable example and the realized improvements with respect to the corresponding literature are highlighted. By using the constructed example, it is observed that the results established herein cannot be deduced from their analogs in previously announced results in the literature. As an application, the existence and uniqueness of solutions to certain nonlinear Volterra integral equations are investigated to illustrate the utility of our obtained results. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*VOLTERRA equations

Details

Language :
English
ISSN :
20738994
Volume :
15
Issue :
6
Database :
Academic Search Index
Journal :
Symmetry (20738994)
Publication Type :
Academic Journal
Accession number :
164685105
Full Text :
https://doi.org/10.3390/sym15061253