Convergence theorems for strictly asymptotically pseudocontractive mappings in Hilbert spaces

• Autorzy: Saluja G. S.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we establish the weak and strong convergence theorems for a k-strictly asymptotically pseudo-contractive mapping in the framework of Hilbert spaces. Our result improve and extend the corresponding result of Acedo and Xu, Liu, Marino and Xu, Osilike and Akuchu, and some others.

Słowa kluczowe

EN

strictly asymptotically pseudo-contractive mapping; implicit iteration scheme; common fixed point; strong convergence; weak convergence; Hilbert space

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2010
• Tom: Vol. 30, no. 4
• Strony: 485--494
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Saluja G. S.

• Govt. Nagarjun P.G. College of Science Department of Mathematics & Information Technology Raipur (Chhattisgarh), India,

Bibliografia

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• [7] Q. Liu, Convergence theorems of the sequence of iterates for asymptotically demicontractive and hemicontractive mappings, Nonlinear Anal. 26 (1996), 1835–1842.
• [8] G. Marino, H.K. Xu, Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces, J. Math. Anal. Appl. 329 (2007), 336–346.
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