A Unified Approach and Related Fixed-Point Theorems for Suzuki Contractions

Author:

Zoto Kastriot1ORCID,Šešum-Čavić Vesna2,Pantović Mirjana3ORCID,Todorčević Vesna4,Zoto Marsela5,Radenović Stojan6ORCID

Affiliation:

1. Department of Mathematics, Informatics and Physics, Faculty of Natural Sciences, University of Gjirokastra, 6001 Gjirokastra, Albania

2. Faculty of Civil Engineering, University of Belgrade, Bulevarkralja Aleksandra 73, 11000 Belgrade, Serbia

3. Department of Mathematics and Informatics, Faculty of Science, University of Kragujevac, Radoja Domanovića 12, 34000 Kragujevac, Serbia

4. Mathematical Institute of the Serbian Academy of Sciences and Arts, Kneza Mihaila 36, 11000 Belgrade, Serbia

5. Department of Teaching and English Language, High School “Abaz Shehu”, 6301 Tepelene, Albania

6. Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Belgrade, Serbia

Abstract

This paper aims to give an extended class of contractive mappings combining types of Suzuki contractions α-admissible mapping and Wardowski F-contractions in b-metric-like spaces. Our results cover and generalize many of the recent advanced results on the existence and uniqueness of fixed points and fulfill the Suzuki-type nonlinear hybrid contractions on various generalized metrics.

Funder

Serbian Ministry of Education, Science and Technological Development

Publisher

MDPI AG

Reference24 articles.

1. Fixed points of a new type of contractive mappings in complete metric space;Wardowski;Fixed Point Theory Appl.,2012

2. Fixed points of F—weak contractions on complete metric spaces;Wardowski;Demonstr. Math.,2014

3. On F—contractions: A Survey;Fabiano;Contamporary Math.,2022

4. F-contractions of Hardy-Rogers-type and application to multistage decision;Vetro;Nonlinear Anal. Model. Control.,2016

5. Existence results for integral equations and boundary value problems for generalized F—contractions in b- Metric-like-Spaces;Joshi;J. Funct. Spaces,2017

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1. Certain Fixed Point Results via Contraction Mappings in Neutrosophic Semi-Metric Spaces;Journal of Advances in Applied & Computational Mathematics;2024-08-14

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