<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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</p></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

Iterative methods for zero points of accretive operators in Banach spaces

Department of Mathematics and Physics, North China Electric Power University, Baoding 071003, China

Department of Mathematics, Gyeongsang National University, Jinju 660-701, Korea

Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, China

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

{"article-title":"Iterative methods for zero points of accretive operators in Banach spaces"}

The purpose of this paper is to consider the problem of approximating zero points of accretive operators. We introduce and analysis Mann-type iterative...

Iterative methods for zero points of accretive operators in Banach spaces

Published Online: May 17, 2013

Page range: 329 - 344

DOI: https://doi.org/10.2478/v10309-012-0022-7

Keywords
Accretive operator, Fixed point, Nonexpansive mapping, Range condition, Zero point

This content is open access.

Iterative methods for zero points of accretive operators in Banach spaces

Published Online: May 17, 2013

Page range: 329 - 344

DOI: https://doi.org/10.2478/v10309-012-0022-7

KeywordsAccretive operator, Fixed point, Nonexpansive mapping, Range condition, Zero point

This content is open access.

Keywords
Accretive operator, Fixed point, Nonexpansive mapping, Range condition, Zero point