Demonstrates fixed point results in intuitionistic fuzzy metric spaces, suggesting new mapping techniques for solving boundary value problems.
In this paper, we introduce a new class of intuitionistic fuzzy contractive (IFC) mappings, termed âcontractive mappings, and establish fixed point results in M âcomplete intuitionistic fuzzy metric spaces (IFMSs). We further define intuitionistic fuzzy (IF) âproximal contractions to obtain best proximity points for nonâself mappings between two subsets of nonâArchimedean IFMSs. Several related theorems are presented and supported by illustrative examples. Moreover, an application is provided to demonstrate the existence and uniqueness of solutions for a nonlinear boundary value problem, highlighting the significance of the obtained results.
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Khan et al. (2026) studied this question.
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