頁籤選單縮合
題 名 | Hybrid Viscosity Iterative Approximation of Zeros of M-Accretive Operators in Banach Spaces |
---|---|
作 者 | 曾六川; 王牧民; | 書刊名 | Taiwanese Journal of Mathematics |
卷 期 | 15:6 2011.12[民100.12] |
頁 次 | 頁2459-2481 |
分類號 | 314.74 |
關鍵詞 | Hybrid viscosity iterative approximation method; Nonexpansive mapping; m-Accretive operator; Uniformly smooth Banach space; Reflexive Banach space with weakly continuous duality map; |
語 文 | 英文(English) |
英文摘要 | In this paper, let X be a reflexive Banach space which either is uniformly smooth or has a weakly continuous duality map. We prove, under the convergence of no parameter sequences to zero, the strong convergence of their iterative scheme to a zero of m-accretive operator A in X, which solves a variational inequality on the set A−1(0) of zeros of A. Such a result includes their main result as a special case. Furthermore, we also give a weak convergence theorem for hybrid viscosity iterative approximation method involving a maximal monotone operator in a Hilbert space. |
本系統中英文摘要資訊取自各篇刊載內容。