Iterative methods for zero points of accretive operators in Banach spaces

Sheng Hua Wang; Sun Young Cho; Xiao Long Qin

doi:10.2478/v10309-012-0022-7

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Iterative methods for zero points of accretive operators in Banach spaces

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 20 (2012): Issue 1 (May 2012)

By: Sheng Hua Wang, Sun Young Cho and Xiao Long Qin

Open Access

|May 2013

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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Articles in this issue

DOI: https://doi.org/10.2478/v10309-012-0022-7 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 329 - 344

Published on: May 17, 2013

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Accretive operator,

Fixed point,

Nonexpansive mapping,

Related subjects:

© 2013 Sheng Hua Wang, Sun Young Cho, Xiao Long Qin, published by Ovidius University of Constanta
This work is licensed under the Creative Commons License.

Volume 20 (2012): Issue 1 (May 2012)