Author : Surjeet Singh Chauhan (Gonder) and Kiran Utreja

As already aware of the concepts of compatible mappings, compatible mappings of type α, compatible mappings of type β and weakly compatible, we are proving a common fixed point theorem in L-fuzzy metric space on four self-mappings using the concept of Biased Mappings of Type and the property C with a known fact that if a pair of maps is compatible or compatible of type α or compatible of type β then it is biased mapping of both type. This result could be further used to prove result on three self-mappings.

Keywords: Fixed point, L-fuzzy metric space, Biased Mappings, Property C, Mathematics Subject Classification: 46S40, 54H25, 54E35