journal-of-interdisciplinary-mathematics

Journal of Interdisciplinary Mathematics

2169-012X 0972-0502

Taru Publications

10.47974/JIM-1881

Common fixed point theorem in fuzzy Fréchet space

Jasim

Ahmed Ghanawi

Department of Mathematics, Faculty of Computer Science and Mathematics, University of Thi-Qar, Thi-Qar, Iraq Sangoor

Azhar Aziz

Department of Mathematics, Faculty of Computer Science and Mathematics, University of Thi-Qar, Thi-Qar, Iraq Mohammed

Ali Salim

Department of Mathematics, Faculty of Computer Science and Mathematics, University of Thi-Qar, Thi-Qar, Iraq Dahees

Thekra H.

Department of Mathematics, Faculty of Education for Pure Science, University of Thi-Qar, Thi-Qar, Iraq Kamil

Ahmed Hameed

Department of Mathematics, Faculty of Computer Science and Mathematics, University of Thi-Qar, Thi-Qar, Iraq

27 4 843 847

30 06 2024

By using the concepts of commuting and compatibility, we establish a common fixed point for mappings in fuzzy Fréchet space. By assuming two commuting self-mappings under some restrictions, we get the unique common fixed point in a fuzzy Fréchet space. Moreover, by adding the condition of compatibility for four self-mappings with some restrictions in a fuzzy Fréchet space(FFS), the unique common fixed point is satisfied.

Fuzzy fréchet space FF-sequentially continuous Common fixed point Commuting mappings Compatible mappings

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