Best Proximity Point Theorem for φ ̃–ψ ̃-Proximal Contractive Mapping in Fuzzy Normed Space

The study of fixed points on the maps fulfilling certain contraction requirements has several applications and been focus numerous research endeavors. On other hand, as an extension idea best approximation, proximity point (ƁƤƤ) emerges. approximation theorem ensures existence approximate solution; is considered for addressing problem in order to arrive at optimum solution. This paper introduces a new kind proximal mapping establishes such fuzzy normed space ( space). In beginning, concept was introduced. contractive context then presented. Following that, theory this established. addition, we provide example application results