Akademik Veri Yönetim Sistemi
2nd Kocaeli Science Congress, Kocaeli, Türkiye, 19 - 21 Kasım 2025, ss.1-12, (Tam Metin Bildiri)
The aim of this paper is to define the concept of modular fuzzy metric-like space by combining of modular-like metric space and fuzzy metric-like space. We give examples and propositions to approve the importance of this new concept. Fundamental notions containing convergence, Cauchy sequence and completeness are carefully defined. We also demonstrate that, in a modular fuzzy metric-like space, the limit of the convergent sequence may not be unique. The fixed point theorem is proved, expanding the classical findings to this space. The applicability of fixed point theorem is shown through an example, expressing both theoretical potency and practical benefit of the proposed approach.