Common Fixed Point Theorem for Occasionally Weakly Compatible Mapping in Q-Fuzzy Metric Space

The Fixed Point theory is an important and major topic of the nonlinear functional analysis that deals with the investigation leading to the existence and approximation of a “Fixed Point”. To enhance its literature, the Common Fixed Point Theorem in Q Fuzzy Metric Space, is established as a prime objective of this paper.The goal is achieved by taking four self mappings on a Q Fuzzy Metric Space, satisfying the general contractive condition along with the definition of occasionally weakly compatible. The theorem is also illustrated with example and a unique fixed point is derived. Our result is independent of the continuity requirement of the maps and completeness of the space