weak and strong convergence theorems for zeroes of accretive operators in banach spaces

Clicks: 67
ID: 245716
2014
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Abstract
The purpose of this paper is to present two new forward-backward splitting schemes with relaxations and errors for finding a common element of the set of solutions to the variational inclusion problem with two accretive operators and the set of fixed points of nonexpansive mappings in infinite-dimensional Banach spaces. Under mild conditions, some weak and strong convergence theorems for approximating this common elements are proved. The methods in the paper are novel and different from those in the early and recent literature. Our results can be viewed as the improvement, supplementation, development, and extension of the corresponding results in the very recent literature.
Reference Key
song2014journalweak Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Yanlai Song;Luchuan Ceng
Journal Chemico-biological interactions
Year 2014
DOI
10.1155/2014/943753
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