Iterative methods for zero points of accretive operators in Banach spaces

作者:Wang, Sheng Hua*; Cho, Sun Young; Qin, Xiao Long
来源:Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, 2012, 20(1): 329-343.
DOI:10.2478/v10309-012-0022-7

摘要

The purpose of this paper is to consider the problem of approximating zero points of accretive operators. We introduce and analysis Mann-type iterative algorithm with errors and Halpern-type iterative algorithms with errors. Weak and strong convergence theorems are established in a real Banach space. As applications, we consider the problem of approximating a minimizer of a proper lower semicontinuous convex function in a real Hilbert space.

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