A general composite iterative method for strictly pseudocontractive mappings in Hilbert spaces

被引：0
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作者：
Jong Soo Jung
机构：
[1] Dong-A University,Department of Mathematics
来源：
Fixed Point Theory and Applications | / 2014卷
关键词：
composite iterative method; -strictly pseudocontractive mapping; nonexpansive mapping; fixed points; Lipschitzian; weakly asymptotically regular; -Lipschitzian and ; -strongly monotone operator; strongly positive bounded linear operator; Hilbert space; variational inequality;
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摘要：
In this paper, we introduce a new general composite iterative method for finding a fixed point of a strictly pseudocontractive mapping in Hilbert spaces. We establish the strong convergence of the sequence generated by the proposed iterative method to a fixed point of the mapping, which is the unique solution of a certain variational inequality. In particular, we utilize weaker control conditions than previous ones in order to show strong convergence. Our results complement, develop, and improve upon the corresponding ones given by some authors recently in this area.
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