Unique Solution of Integral Equations via Intuitionistic Fuzzy b-Metric-Like Spaces

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Bostan N. U., Onbaşıoğlu Altuhovs Ş., Pazar Varol B.

PESQUISA OPERACIONAL, vol.45, no.e295611, pp.1-20, 2025 (Scopus)

• Publication Type: Article / Article
• Volume: 45 Issue: e295611
• Publication Date: 2025
• Doi Number: 10.1590/0101-7438.2025.045.00295611
• Journal Name: PESQUISA OPERACIONAL
• Journal Indexes: Scopus, zbMATH
• Page Numbers: pp.1-20
• Kocaeli University Affiliated: Yes

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.