A common fixed point theorem for compatible mappings of type (B) in complete metric spaces

• Autorzy: Djoudi A.
• Języki publikacji: EN

Abstrakty

EN

In the present note we give a common fixed point theorem. The theorem extend the results of Popa [8] to the case of four self mappings which are compatible of type (B) and satisfying a contractive relation.

Słowa kluczowe

EN

compatible mappings; common fixed points

PL

twierdzenie o punkcie stałym

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2003
• Tom: Vol. 36, nr 2
• Strony: 463--470
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Djoudi A.

• Institut de Mathématiques, Faculté des Sciences, Université de Annaba, P.O. Box 23000, Annaba, Algieria

Bibliografia

• [1] G. Jungck, Compatible mappings and common fixed points, Internat. J. Math & Math. Sci. 9 (1986), 771-779.
• [2] G. Jungck, Compatible mappings and common fixed points (2), Internat. J. Math & Math. Sci. 11 (1988), 285-288.
• [3] G. Jungck, P. P. Murthy and Y. J. Cho, Compatible mappings of type (A) and common fixed points, Math. Japonica 38, 2 (1993), 381-390.
• [4] G. Jungck and B. E. Rhoades, Some fixed point theorems for compatible maps,Internat. J. Math & Math. Sci. 16 (1993), 417-428.
• [5] M. S. Kang, Y. J. Cho and G. Jungck, Common fixed points of compatible mappings, Internat. J. Math & Math. Sci. 13 (1990), 61-66.
• [6] M. S. Kang and J. W. Rye, A common fixed point theorem for compatible mappings, Math. Japonica 35 (1990), 153-157.
• [7] H. K. Pathak and M. S. Khan, Compatible mappings of type (B) and common fixed point theorems of Greguš tupe, Czechoslovak Math. J. 45, 120 (1995), 685-698.
• [8] V. Popa, A common fixed point theorem of weakly commuting mappings, Inst. Math. (Beograd) (N. S) 47, 61 (1990), 132-136.
• [9] V. Popa, On unique common fixed point for compatible mappings of type (A), Demonstratio Math. 30 No 2 (1997), 931-936.
• [10] S. P. Singh and B. A. Meade, On common fixed point theorems, Bull. Austral. Math. Soc. 16 (1977), 49-53.