Approximation common zero of two accretive operators in banach spaces

Jong Kyu Kim and Truong Minh Tuyen

Applied Mathematics and Computation, 2016, vol. 283, issue C, 265-281

Abstract: The purpose of this paper is to introduce a new iterative method that is the combination of the proximal point algorithm, viscosity approximation method and alternating resolvent method for finding the common zeros of two accretive operators in Banach spaces. And we will prove the strong convergence theorems for the iterative algorithms and give the example of the main theorems. The results of this paper are improvements and extensions of the corresponding ones announced by many others.

Keywords: Accretive operators; Proximal point algorithm; Alternating resolvent methods; Viscosity approximation methods (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:283:y:2016:i:c:p:265-281

DOI: 10.1016/j.amc.2016.02.030

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