The iterative approximation of solutions to system of multi-valued nonlinear operator equations

• Autorzy: Lin W.
• Języki publikacji: EN

Abstrakty

EN

The purpose of this paper is to study the Ishikawa iterative approximation of solutions to system of multi-valued Φ-accretive operator equations in real uniformly smooth Banach spaces. The results presented in this paper improve and extend the recent corresponding results.

Słowa kluczowe

EN

solution; multi-valued; Φ- accretive operator; Ishikawa iterative sequence

PL

rozwiązanie; wielowartościowy; Φ- przyrost operatora; iteracyjny ciąg Ishikawa

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2004
• Tom: Vol. 10, nr 2
• Strony: 303--309
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Lin W.

• Department of Mathematics Kunming Teachers College Kunming, Yunnan, 650031 P. R. China,

Bibliografia

• [1] Chang, S. S., On Chidume’s open questions and approximate solution of multi-valued strongly accretive mapping equations in Banach spaces, J. Math. Anal. Appl. 216 (1997), 94-111.
• [2] Chidume, C. E., Iterative approximation of a fixed point of Lipschitzian strictly pseudocontractive mappings, Proc. Amer. Math. Soc. 99 (1987), 283-288.
• [3] Chidume, C. E., Iterative solution of nonlinear equations with strictly accretive operators, J. Math. Anal. Appl. 192 (1995), 501-518.
• [4] Deng, L., On Chidume’s open questions, J. Math. Anal. Appl. 174 (1993), 441 449.
• [5] Liu, L. W., Strong convergence of iteration methods for equations involving accretive operators in Banach space, Nonlinear Anal. 42 (2000), 271-276.
• [6] Tan, K. K., Xu, H. K., Iterative solutions to nonlinear equations of strongly accretive operator in Banach space, J. Math. Anal. Appl. 178 (1993), 9-21.