Applications On Fixed Point Theorem with Fuzzy Metric Space

Fixed-point theorems plays an important role in Boundary Value problems. It also contributes in characterization of the completeness of metric spaces, differential and integral equations. Fixed points of a functions satisfying certain contractive conditions has been at the center of vigorous research activity, because it has wide range of applications in different areas such as, variational, linear inequalities, optimization and parameterize estimation problems. A probabilistic generalization of metric spaces appears to be well adapted for the investigation of physical quantities and physiological thresholds. It is also of fundamental importance in probabilistic functional analysis fixed point theorem in the setting of probabilistic metric space using weak compatibility, semi compatibility and an implicit relation.