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In this paper, we show that the modified Mann iteration with errors converges strongly to fixed point for uniformly L-Lipschitzian asymptotically φ-pseudocontractive mappings in real Banach spaces.
Meanwhile, it is proved that the convergence of Mann and Ishikawa iterations is equivalent for uniformly L-Lipschitzian asymptotically φ-pseudocontractive mappings in real Banach spaces. Finally, we obtain the convergence theorems of Ishikawa iterative sequence and the modified Ishikawa iterative process with errors.
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참고문헌 (6)
참고문헌 신청
E. U. Ofoedu / 2006 / Strong convergence theorem for uniformly L-Lipschitzian asymptotically pseudocontractive mapping in real Banach space / J. Math. Anal. Appl. 321 (2) : 7
L. C. Zeng / 2005 / Iterative approximation of fixed points of asymptotically pseudo-contractive mappings in uniformly smooth Banach spaces / Chinese Ann. Math. Ser. A 26 (2)
S. S. Chang / 2001 / Some results for asymptotically pseudo-contractive mappings and asymptotically nonexpansive mappings / Proc. Amer. Math. Soc. 129 (3) : 845 ~ 853
X. Weng / 1991 / Fixed point iteration for local strictly pseudo-contractive mapping / Proc. Amer. Math. Soc. 113 (3) : 727 ~ 731
Y. Xu / 1998 / Ishikawa and Mann iterative processes with errors for nonlinear strongly accretive operator equations / J. Math. Anal. Appl. 224 (1) : 91 ~ 101
L. C. Zeng / 2005 / Iterative approximation of fixed points of asymptotically pseudo-contractive mappings in uniformly smooth Banach spaces / Chinese Ann. Math. Ser. A 26 (2)
S. S. Chang / 2001 / Some results for asymptotically pseudo-contractive mappings and asymptotically nonexpansive mappings / Proc. Amer. Math. Soc. 129 (3) : 845 ~ 853
X. Weng / 1991 / Fixed point iteration for local strictly pseudo-contractive mapping / Proc. Amer. Math. Soc. 113 (3) : 727 ~ 731
Y. Xu / 1998 / Ishikawa and Mann iterative processes with errors for nonlinear strongly accretive operator equations / J. Math. Anal. Appl. 224 (1) : 91 ~ 101
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