Article ID Journal Published Year Pages File Type
4628281 Applied Mathematics and Computation 2014 8 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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