*FIXED point theory, *NONEXPANSIVE mappings, *MATHEMATICAL mappings, *NONLINEAR operators, *MATHEMATICS
Abstract
In this paper, we propose a new extragradient method with regularization for finding a common element of the solution set Γ of the split feasibility problem and the set Fix(S) of fixed points of a nonexpansive mapping S in infinitedimensional Hilbert spaces, combining the regularization method and the technique of averaged operator, we prove the sequences generated by the proposed algorithm converge weakly to an element of Fix(S)∩Γ under mild conditions. [ABSTRACT FROM AUTHOR]
Published
2019
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