General Common Fixed Point Theorems for Compatible Mappings of Type (C)

Authors

  • Hakima Bouhadjera Université de Annaba, Faculté des sciences Département de mathématiques, Annaba, Algerie

DOI:

https://doi.org/10.5644/SJM.01.2.11

Keywords:

Compatible and compatible mappings of type (A), (B) and (C), implicit relations, common fixed point theorem

Abstract

In this note, we prove a common fixed point theorem for four compatible mappings of type (C) satisfying an implicit relation. This theorem generalizes, improves and extends the result of Popa [6] and others.

 

2000 Mathematics Subject Classification. 47H10, 54H25

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References

G. Jungck, Compatible mappings and common fixed points, Internat. J. Math. Math. Sci., 9 (1986), 771–779.

G. Jungck, P. P. Murthy and Y. J. Cho, Compatible mappings of type (A) and common fixed points, Math. Japon., 38 (1993), 381–390.

H. K. Pathak, Y. J. Cho, S. M. Kang and B. Madharia, Compatible mappings of type (C) and common fixed point theorems of Greguˇs type, Demonstr. Math., 31 (3) 1998, 499–517.

H. K. Pathak and M. S. Khan, Compatible mappings of type (B) and common fixed point theorems of Greguˇs type, Czechoslovak Math. J., 45 (120) (1995), 685–698.

V. Popa, Some fixed point theorems for compatible mappings satisfying an implicit relation, Demonstr. Math., 32 (1) 1999, 157–163.

V. Popa, Common fixed point theorems for compatible mappings of type (A) satisfying an implicit relation, Stud. Cercet. S¸tiint¸. Ser. Mat. Univ. Bac˘au, 9 (1999), 165–172.

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Published

12.06.2024

How to Cite

Bouhadjera, H. (2024). General Common Fixed Point Theorems for Compatible Mappings of Type (C). Sarajevo Journal of Mathematics, 1(2), 231–270. https://doi.org/10.5644/SJM.01.2.11

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Articles