Some Modified Fixed Point Results in -Fuzzy Metric Spaces

The present research paper focuses on the existence of fixed point in -fuzzy metric space. The presentation of -fuzzy metric space in -tuple encourages us to define different mapping in the symmetric -fuzzy metric space. Here, the properties of fuzzy metric space are extended to -fuzzy metric space. The introduction of notion for pair of mappings on -fuzzy metric space called -weakly commuting of type and weakly commuting of type is given. This proved fixed point theorem in -fuzzy metric space employing the effectiveness of E.A. property and CLRg property. For the justification of the results, some examples are illustrated.