Approximation of common fixed points of a family of asymptotically quasi-nonexpansive mappings

• Autorzy: Sahu D. , Shrivastava S. , Malager B.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we study the convergence of the sequence of Ishikawa iteration of rank-r to common fixed points of a finite family of asymptotically quasi-nonexpansive mappings in uniformly convex Banach spaces. Our results extend and improve some known recent results.

Słowa kluczowe

EN

approximation; common fixed point; asymptotically quasi-nonexpansive mapping; Banach space

PL

aproksymacja; punkty stałe; odwzorowania nieekspansywne; przestrzeń Banacha

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2008
• Tom: Vol. 41, nr 3
• Strony: 651--659
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Sahu D.

autor

Shrivastava S.

autor

Malager B.

• Department of Applied Mathematics, Shri Shankaracharya College of Engineering and Technology, Junwani, Bhilai - 490020, India,

Bibliografia

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• [5] W. V. Petryshyn and T. E. Williamson, Storng and weak convergence of the sequence of successive approximations for quasi nonexpansive mappings, J. Math. Anal. Appl. 43 (1973), 459-497.
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• [8] D. R. Sahu, On Generalized Ishikawa iteration process and nonexpansive mappings in Banach spaces, Demonstratio Math. 36 (3) (2003), 721-734.
• [9] J. Schu, Weak and strong convergence of fixed points of asymptotically nonexpansive maps, Bull. Austral. Math. Soc. 43 (1991), 153-159.
• [10] K. K. Tan and H. K. Xu, Fixed point ineration processes for asymptotically nonexpansive mappings, Proc. Amer. Math. Soc. 122 (1994), 733-739.