On the Fixed Point Results for the Suzuki‐Type Multivalued <i>δ</i> ‐Contractions
In this study, we prove the existence of a fixed point for a Suzuki‐type δ ‐contraction, which is a generalization of the δ ‐contraction and weak δ ‐contraction mappings. We prove a fixed point theorem for multivalued mappings satisfying a Suzuki‐type δ ‐contraction in complete fuzzy metric spaces. Furthermore, we prove some several fixed point results for single and multivalued mappings in complete fuzzy metric spaces. We establish some examples that support some of the results in our study. As an application, we present the existence and uniqueness of solution for the system of functional equations in dynamic programming.
Authors
- Azhar Hussain (ORCID: https://orcid.org/0000-0003-4501-9269)
- Müzeyyen Sangurlu Sezen (ORCID: https://orcid.org/0000-0001-7520-6255)
- Raaid Alubady (ORCID: https://orcid.org/0000-0001-9748-2541)
- Duran Türkoğlu (ORCID: https://orcid.org/0000-0002-8667-1432)
- Serap Özcan (ORCID: https://orcid.org/0000-0001-6496-5088)
- Sina Etemad (ORCID: https://orcid.org/0000-0002-1574-1800)
Institutions
- University of Sargodha (PK)
- University of Babylon (IQ)
- Thi Qar University (IQ)
- University of Arts (AL)
- Azarbaijan Shahid Madani University (IR)
- Gazi University (TR)
Publication Details
- Journal
- Journal of Function Spaces
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1155/jofs/5321847
- Citations
- 1
- Primary Topic
- Fixed Point Theorems Analysis
- Type
- article
- Field-Weighted Citation Impact
- 4.09
Funders
- Azarbaijan Shahid Madani University