Some fixed and common fixed point theorems connected to a results of M.S. Khan, M. Swald and S. Sessa

• Autorzy: Akkouchi M.
• Języki publikacji: EN

Abstrakty

EN

The aim of this note is to prove some fixed and common fixed point theorems in complete metric spaces for self-maps verifying generalized contractive conditions close to that one introduced by M. S. Khan, M. Swaleh and S. Sessa in [6]. Moreover our results utilize much weaker conditions on the functions altering the distances between the points. Our main result unifies and improves the main results of papers [I], [4], [6] and [8].

Słowa kluczowe

EN

fixed point theorems; generalized contractive conditions

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2002
• Tom: Vol. 35, nr 1
• Strony: 129--138
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Akkouchi M.

• Département de Mathématiques, Faculté des Sciences-Semlalia, Université Cadi Ayyad, Avenue Du Prince My. Abdellah. B.P. 2390, Marrakech, Maroc (Morocco)

Bibliografia

• [1] M. Akkouchi, Common fixed point theorems by altering the distances between the points in bounded complete metric spaces, Demonstratio Math. 33, No. 4, (2000), 843-850.
• [2] D. Delbosco, Un estensione di un teorema sul punto fìsso di S. Reich, Rend. Sem. Mat. Univers. Politecn. Torino, 35 (1976-77), 233-239.
• [3] M. Edelstein, On fixed and periodic points under contractive mappings, J. London Math. Soc. 37 (1962), 74-79.
• [4] M. El Amrani and A. B. Mbarki, Fixed point theorem by altering distance between the points, Electronic Journal: Southwest. J. Pure and Appi. Math. Issue 1 July 2000, 16-21.
• [5] B. Fisher, A fixed point mapping, Bull. Calcutta Math. Soc. 68 (1976), 265-266.
• [6] 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.
• [7] E. Rakotch, A note on contractive mappings, Proc. Amer. Math. Soc. 13 (1962), 459-465.
• [8] R. A. Rashwan and A. M. Sadeek, A common fixed point theorem in complete metric spaces, Electronic Journal: Southwest. J. Pure and Appi. Math. Vol. No. 01 (1996), 6-10.
• [9] S. Reich, Kannan's fixed point theorem, Boll. U. M. I. (4) 4 (1971), 1-11.
• [10] F. Skof, Teorema di punti fisso per applicazioni negli spazi metrici, Atti. Accad. Aci. Torino. 111 (1977), 323-329.