DEMI-CLOSED PRINCIPLE AND WEAK CONVERGENCE PROBLEMS FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

Shih-sen Chang, Yeol Je Cho, Haiyun Zhou · 2001

Abstract. A demi-closed theorem and some new weak conver-gence theorems of iterative sequences for asymptotically nonexpan-sive and nonexpansive mappings in Banach spaces are obtained. The results presented in this paper improve and extend the corre-sponding results of [1], [8]-[10], [12], [13], [15], [16], and [18]. 1. Introduction and

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