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APPROXIMATIONS OF THE ITERATIVE SEQUENCES FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN BANACH SPACES

조열제|Shih-Sen Chang|Haiyun Zhou
영남수학회 (Youngnam Mathematical Society)|2008.01|East Asian Mathematical Journal|제24권 제1호|pp. 125-137

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참고문헌

키워드

fixed pointnonexpansive mappingAsymptotically nonexpansive mappingthe sequences of Halpern type
주제분류수학

초록

In this paper, we first introduce some iterative sequences of Halpern type for asymptotically nonexpansive mappings and nonexpansive mappings in Banach spaces and then we discuss strong convergence for the iterative processes. The results presented in this paper extend, supplement and improve the correspoding main results of Reich [11], Shimizu and Takahashi [13], Shioji and Takahashi [15], [16] and Wittmann [18].

Abstract

In this paper, we first introduce some iterative sequences of Halpern type for asymptotically nonexpansive mappings and nonexpansive mappings in Banach spaces and then we discuss strong convergence for the iterative processes. The results presented in this paper extend, supplement and improve the correspoding main results of Reich [11], Shimizu and Takahashi [13], Shioji and Takahashi [15], [16] and Wittmann [18].

참고문헌 (20)

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