International Journal For Multidisciplinary Research

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A Widely Indexed Open Access Peer Reviewed Multidisciplinary Bi-monthly Scholarly International Journal

Call for Paper Volume 7, Issue 4 (July-August 2025) Submit your research before last 3 days of August to publish your research paper in the issue of July-August.

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

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