Best Proximity Point Theorems without Fuzzy P-Property for Several (y - phi)-Weak Contractions in Non-Archimedean Fuzzy Metric Spaces Zhou, Mi Roldán López de Hierro, Antonio Francisco Best proximity point Global optimization (psi - phi)-weak proximal contraction Fuzzy P-property Non-Archimedean fuzzy metric space Domain of words This paper addresses a problem of global optimization in a non-Archimedean fuzzy metric space context without fuzzy P-property. Specifically, it concerns the determination of the fuzzy distance between two subsets of a non-Archimedean fuzzy metric space. Our approach to solving this problem is to find an optimal approximate solution to a fixed point equation. This approach has been well studied within a category of problems called proximity point problems. We explore some new types of (psi-phi)-weak proximal contractions and investigate the existence of the unique best proximity point for such kinds of mappings. Subsequently, some fixed point results for corresponding contractions are proved, and some illustrative examples are presented to support the validity of the main results. Moreover, an interesting application in computer science, particularly in the domain of words has been provided. Our work is a fuzzy generalization of the proximity point problem by means of fuzzy fixed point method. 2022-12-09T08:18:18Z 2022-12-09T08:18:18Z 2022-10-30 info:eu-repo/semantics/article Zhou, M... [et al.]. Best Proximity Point Theorems Without Fuzzy P-Property for Several (y - phi)-Weak Contractions in Non-Archimedean Fuzzy Metric Spaces. Mathematics 2022, 10, 4031. [https://doi.org/10.3390/math10214031] https://hdl.handle.net/10481/78351 10.3390/math10214031 eng http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess Atribución 4.0 Internacional MDPI