International Journal For Multidisciplinary Research

E-ISSN: 2582-2160   •   Impact Factor: 9.24

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Volume 7 Issue 3
May-June 2025

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Fixed-Point Theorems in Vector-Valued Fuzzy Metric Spaces

Author(s) Rajani Dubey, Dr. Rohit Kumar Verma
Country India
Abstract This paper presents a comprehensive study on fixed-point theorems within the framework of vector-valued fuzzy metric spaces, extending classical notions of both metric and fuzzy metric spaces. In this generalized setting, the metric function takes values in a partially ordered Banach space, providing a richer structure for analyzing convergence in multi-dimensional and uncertain environments. We establish sufficient conditions for the existence of fixed points for self-mappings in these spaces. The theoretical results are supported by illustrative examples and are positioned to contribute meaningfully to both pure and applied mathematical disciplines, particularly in systems involving fuzzy logic, uncertainty modeling, and vector-valued analysis.
Published In Volume 7, Issue 3, May-June 2025
Published On 2025-06-25
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E-ISSN 2582-2160
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