General fixed point theorems for weakly compatible maps

• Autorzy: Djoudi A.
• Języki publikacji: EN

Abstrakty

EN

The purpose of this note is to use general expanssive conditions and minimal type commutativity without continuity requirements to prove some fixed point theorems. The theorems extend known results from the class of compatible continuous expansive maps to a wider class of mappings.

Słowa kluczowe

EN

weakly compatible mappings; fixed point theorems

PL

odwzorowanie zgodne; twierdzenie o punkcie stałym

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2005
• Tom: Vol. 38, nr 1
• Strony: 197--205
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Djoudi A.

• Institut de Mathematiques, Faculte des Sciences Universite de Annaba, P.O. Box 12 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, P. P. Murthy and Y. J. Cho, Compatible mappings of type (A) and common fixed points, Math. Japonica 38, 2, (1993), 381-390.
• [3] G. Jungck and B. E. Rhoades, Fixed point for set valued functions without continuity, Indian J: Pure Appl. Math. 29(3) (1998), 227-238.
• [4] R. P. Pant, Common fixed points of noncommuting mappings, J. Math. Anal. Appl. 188 (1994), 436-440.
• [5] R. P. Pant, R-weak commutativity and common fixed points, Soochow J. Math. 25 (1999), 251-258.
• [6] H. K. Pathak and M. S. Khan, Compatible mappings of type (B) and common fixed point theorems of Greguš type, Czechoslovak Math. J. 45, 120 (1995), 685-698.
• [7] H. K. Pathak, Y. J. Cho, S. M. Kang and B. Madharia, Compatible mappings of type (C) and common fixed point theorems of Greguš type, Demonstratio Math. 31(3) (1998), 499-518.
• [8] V. Popa, On unique common fixed point for compatible mappings of type (A), Demonstratio Math. 30(4) (1997), 931-936 .
• [9] V. Popa. and H. K. Pathak, Common fixed points of compatible mappings, Demonstratio Math. 26 (1993), 803-809.