Modular Fuzzy b-Metric-Like Spaces with an Application to Integral Equations
BOLETIM DA SOCIEDADE PARANAENSE DE MATEMATICA, cilt.44, sa.19, ss.1-17, 2026 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 44 Sayı: 19
- Basım Tarihi: 2026
- Doi Numarası: 10.5269/bspm.83412
- Dergi Adı: BOLETIM DA SOCIEDADE PARANAENSE DE MATEMATICA
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
- Sayfa Sayıları: ss.1-17
- Kocaeli Üniversitesi Adresli: Evet
Özet
In this paper, we introduce the modular fuzzy b-metric-like space and establish its main structural properties. Fundamental concepts containing convergence, Cauchy sequence and completeness are meticulously defined, forming a comprehensive foundation for analysis in this new space. Fixed point theorems are proved, extending classical results to this space. The applicability of obtained fixed point results is demonstrated through the solution of an integral equation, illustrating both the theoretical strength and practical utility of the proposed approach.