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On Some Novel Fixed Point Results for Generalized -Contractions in -Metric-Like Spaces with Application

Kastriot Zoto1, Ilir Vardhami2, Dušan Bajović3, Zoran D. Mitrović3,*, Stojan Radenović4

1 Department of Mathematics and Computer Sciences, Faculty of Natural Sciences, University of Gjirokastra, Gjirokastra, 6001, Albania
2 Department of Mathematics, Faculty of Natural Sciences, University of Tirana, Tirana, 1001, Albania
3 Faculty of Electrical Engineering, University of Banja Luka, Banja Luka, 78000, Bosnia and Herzegovina
4 Department of Mathematics, Faculty of Mechanical Engineering, University of Belgrade, Beograd, 11120, Serbia

* Corresponding Author: Zoran D. Mitrović. Email: email

(This article belongs to this Special Issue: Computational Aspects of Nonlinear Operator and Fixed Point Theory with Applications)

Computer Modeling in Engineering & Sciences 2023, 135(1), 673-686.


The focus of our work is on the most recent results in fixed point theory related to contractive mappings. We describe variants of -contractions that expand, supplement and unify an important work widely discussed in the literature, based on existing classes of interpolative and -contractions. In particular, a large class of contractions in terms of and F for both linear and nonlinear contractions are defined in the framework of -metric-like spaces. The main result in our paper is that --weak contractions have a fixed point in -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.


Cite This Article

Zoto, K., Vardhami, I., Bajović, D., Mitrović, Z. D., Radenović, S. (2023). On Some Novel Fixed Point Results for Generalized -Contractions in -Metric-Like Spaces with Application. CMES-Computer Modeling in Engineering & Sciences, 135(1), 673–686.

cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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