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- Title
On Some Novel Fixed Point Results for Generalized F-Contractions in b-Metric-Like Spaces with Application.
- Authors
Zoto, Kastriot; Vardhami, Ilir; Bajović, Dušan; Mitrović, Zoran D.; Radenović, Stojan
- Abstract
The focus of our work is on the most recent results in fixed point theory related to contractive mappings. We describe variants of (s, q, φ, F)-contractions that expand, supplement and unify an important work widely discussed in the literature, based on existing classes of interpolative and F-contractions. In particular, a large class of contractions in terms of s, q, φ and F for both linear and nonlinear contractions are defined in the framework of b-metric-like spaces. The main result in our paper is that (s, q, φ, F)-g-weak contractions have a fixed point in b-metric-like spaces if function F or the specified contraction is continuous. As an application of our results, we have shown the existence and uniqueness of solutions of some classes of nonlinear integral equations.
- Subjects
FIXED point theory; MATHEMATICAL mappings; NONLINEAR integral equations
- Publication
CMES-Computer Modeling in Engineering & Sciences, 2023, Vol 135, Issue 1, p673
- ISSN
1526-1492
- Publication type
Article
- DOI
10.32604/cmes.2022.022878