UNIQUE SOLUTION OF INTEGRAL EQUATIONS VIA INTUITIONISTIC FUZZY B-METRIC-LIKE SPACES
ABSTRACT In this manuscript, our aim is to describe the concept of intuitionistic fuzzy b-metric-like spaces. We investigate some properties of this new space and give some useful examples. We also define the concepts of convergence, Cauchy sequence and completeness in intuitionistic fuzzy b-metric-like space. Furthermore, we establish some fixed point theorems in this setting and give an application to integral equations to illustrate the usability of the obtained results.
Authors
- Banu Pazar Varol (ORCID: https://orcid.org/0000-0002-8627-7910)
- Şuara Onbaşıoğlu Altuhovs (ORCID: https://orcid.org/0009-0003-8462-416X)
- Nizamettin Ufuk Bostan (ORCID: https://orcid.org/0000-0003-4708-8663)
Institutions
- Kocaeli Üniversitesi (TR)
Publication Details
- Journal
- Pesquisa Operacional
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1590/0101-7438.2025.045.00295611
- Primary Topic
- Fixed Point Theorems Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00