Hicks-Type Fixed Point Results and Uniform Structure in Intuitionistic Fuzzy b-Metric Spaces

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.