Common fixed point theorems by altering the distances between the points in bounded complete metric space

• Autorzy: Akkouchi M.
• Języki publikacji: EN

Abstrakty

EN

The aim of this note is to prove some common fixed point theorems in bounded complete metric spaces for self-maps verifying generalized contractive conditions obtained by altering the distances between the points.

Słowa kluczowe

EN

fixed point theorem; metric space

PL

odwzorowania; przestrzeń metryczna

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2000
• Tom: Vol. 33, nr 4
• Strony: 843--850
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Akkouchi M.

• Departement de Mathematiques, Faculte des Sciences-Semlalia, Universite Cadi Ayyad, Avenue du prince My. Abdellah. B.P. 2390, Marrakech, Maroc (Marocco)

Bibliografia

• [1] D. Delbosco, Un estensione di un teorema sul punto fisso di S. Reich, Rend. Sem. Mat. Univers. Politec. Torino, 35 (1976-77), 233-239.
• [2] M. Edelstein, On fixed and periodic points under contractive mappings, J. London Math. Soc. 37 (1962), 74-79.
• [3] B. Fisher, A fixed point mapping, Bull. Calcutta Math. Soc. 68 (1976), 265-266.
• [4] M. S. Khan, M. Swaleh and S. Sessa, Fixed point theorems by altering distance between the points, Bull. Austral. Math. Soc. 30 (1984), 1-9.
• [5] E. Rakotch, A note on contractive mappings, Proc. Amer. Math. Soc. 13 (1962), 459-465.
• [6] R. A. Rashwan and A. M. Sadeek, A common fixed point theorem in complete metric spaces, Electronic Journal: Southwest. J. Pure Appi. Math. Vol. No. 01 (1996), 6-10.
• [7] S. Reich, Kannan's fixed point theorem, Boll. U. M. I. (4) 4 (1971), 1-11.
• [8] F. Skof, Teorema di punti fìsso per applicazioni negli spazi metrici, Atti. Accad. Aci. Torino. 111 (1977), 323-329.