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

Abstract

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.

Mathematics Subject Classification: 47H10, 54H25

Keywords: Fixed point, Occasionally Weakly Compatible mapping, Q-fuzzy metric spaces.