Common Fixed Point Theorems for Four Fuzzy Mappings

Author(s)	SANJU PATEL, Dr. DEVENDRA GAUTAM, Dr. RAM NARAYAN YADAVA
Country	India
Abstract	In this paper we introduce a contractive inequality for four fuzzy mappings through a 4-variable generalization of altering distance function and then prove that the two fuzzy mappings defined on a complete ordered metric linear space satisfying such inequality have a common fixed point. We have discussed some specific results, which are obtainable under special choices of the generalized altering distance function. We also show that a more general result in the fixed point theory of multi-valued mappings can be established and the result we obtained for fuzzy mappings can be deduced from the general theorem.
Keywords	Altering distance function, fuzzy contractive mapping, fixed point, ordered complete metric linear space.
Field	Mathematics
Published In	Volume 7, Issue 4, July-August 2025
Published On	2025-08-04
DOI	https://doi.org/10.36948/ijfmr.2025.v07i04.52755

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