Regularization Proximal Point Algorithm for Common Fixed Points of Nonexpansive Mappings in Banach Spaces

Truong Minh Tuyen ()
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Truong Minh Tuyen: Thainguyen University

Journal of Optimization Theory and Applications, 2012, vol. 152, issue 2, No 4, 365 pages

Abstract: Abstract We study the strong convergence of a regularization proximal point algorithm for the problem of finding a common fixed point of a finite family of nonexpansive mappings in a uniformly convex and uniformly smooth Banach space E.

Keywords: Accretive operators; 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/s10957-011-9909-0

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