Iterative methods for zero points of accretive operators in Banach spaces

Sheng Hua Wang, Sun Young Cho, Xiao Qin · Analele Universităţii "Ovidius" Constanţa. Seria Matematică · 2012

Abstract 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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