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In this paper, we introduce a modified three-step iteration
scheme with errors for three classes of uniformly equi-continuous and
asymptotically quasi-nonexpansive mappings in the framework of uniformly
convex Banach spaces. We then use this scheme to approximate a
common fixed point of these mappings. The results obtained in this paper
extend and improve the recent ones announced by Khan, Fukhar-ud-di,
Zhou, Cho, Noor and some others.
목차
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참고문헌 (17)
참고문헌 신청
B. Xu / 2002 / Fixed-point iterations for asymptotically nonexpansive mappings in Banach spaces / Journal of Mathematical Analysis and Applications 267 (2) : 444 ~ 453
C. E. Chidume / 1999 / Fixed point iteration for pseudocontractive maps / Proceedings of the American Mathematical Society : 1163 ~ 1170
G. Das / 1986 / Fixed points of quasinonexpansive mappings / Indian Journal of Pure and Applied Mathematics 17 (11) : 1263 ~ 1269
H. F. Senter / 974 / Approximating fixed points of nonexpansive mappings / Proceedings of the American Mathematical Society : 375 ~ 380
H. Y. Zhou / 2004 / On the iterative methods for nonlinear operator equations in Banach spaces / Pan-American Mathematical Journal 14 (4) : 61 ~ 68
C. E. Chidume / 1999 / Fixed point iteration for pseudocontractive maps / Proceedings of the American Mathematical Society : 1163 ~ 1170
G. Das / 1986 / Fixed points of quasinonexpansive mappings / Indian Journal of Pure and Applied Mathematics 17 (11) : 1263 ~ 1269
H. F. Senter / 974 / Approximating fixed points of nonexpansive mappings / Proceedings of the American Mathematical Society : 375 ~ 380
H. Y. Zhou / 2004 / On the iterative methods for nonlinear operator equations in Banach spaces / Pan-American Mathematical Journal 14 (4) : 61 ~ 68
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