A Note on the Paper “Regularization Proximal Point Algorithm for Common Fixed Points of Nonexpansive Mappings in Banach Spaces”

Nguyen Thu Hang () and Truong Minh Tuyen ()
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Nguyen Thu Hang: Thainguyen University
Truong Minh Tuyen: Thainguyen University

Journal of Optimization Theory and Applications, 2012, vol. 155, issue 2, No 23, 723-725

Abstract: Abstract In this note, a small gap is corrected in the assumption of main theorem of T.M. Tuyen (Theorem 3.1, Regularization proximal point algorithm for common fixed points of nonexpansive mappings in Banach spaces, J. Optim. Theory Appl., 152:351–365, 2012). We give another assumption, which allows us to obtain the strong convergence of regularization algorithms.

Keywords: Uniformly smooth and uniformly convex Banach space; Sunny nonexpansive retraction; Weak sequential continuous mapping; Regularization (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s10957-012-0081-y

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