Hicks-Type Fixed Point Results and Uniform Structure in Intuitionistic Fuzzy b-Metric Spaces
AXIOMS, cilt.15, sa.6, 2026 (SCI-Expanded)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 15 Sayı: 6
- Basım Tarihi: 2026
- Doi Numarası: 10.3390/axioms15060399
- Dergi Adı: AXIOMS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
- Kocaeli Üniversitesi Adresli: Evet
Özet
In this paper, we propose a new class of intuitionistic fuzzy b-metric spaces in the sense of Romaguera and investigate their fixed-point properties. Within this framework, we define and analyze Hicks-type contraction mappings. In addition, the concept of K-stationary intuitionistic fuzzy b-metrics is introduced and examined through illustrative examples. Our findings generalize classical results in fuzzy b-metric spaces and extend fixed-point theorems to the intuitionistic fuzzy setting. This study enriches fixed-point theory in intuitionistic fuzzy environments and provides a basis for further theoretical investigations and applications.