Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4628281 | Applied Mathematics and Computation | 2014 | 8 Pages |
Abstract
In this paper, for Lipschitz accretive operator A, an iteration scheme is defined as follows:xn+1=(1-αn)xn+αn(u-βnAxn).xn+1=(1-αn)xn+αn(u-βnAxn).Its strong convergence is established for finding some zero of A whenever αn,βn∈(0,1)αn,βn∈(0,1) satisfying conditions:limn→∞αn=0,∑n=1+∞αn=+∞,limn→∞βn=0.Furthermore, some applications for equilibrium problems are given also. In particular, the iteration coefficient is simpler and more general.
Keywords
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yisheng Song, ChangAn Tian,