Weak Convergence of an Iterative Scheme with a Weaker Coefficient Condition

We deal with a generalized proximal point algorithm for a sequence of m-accretive operators in Banach spaces. We investigate the condition of coefficients more deeply, and obtain weak convergence of an iterative scheme with a weaker coefficient condition.

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Bibliographic Details
Published inModeling, Computation And Optimization pp. 287 - 298
Main Author Kimura, Yasunori
Format Book Chapter
LanguageEnglish
Published WORLD SCIENTIFIC 01.04.2009
Subjects
iterative scheme
m-accretive operator
Accretive operator
resolvent
proximal point algorithm
weak convergnece
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ISBN9789814467896
9814273511
9789814273503
9814467898
9789814273510
9814273503
DOI10.1142/9789814273510_0019

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Summary:We deal with a generalized proximal point algorithm for a sequence of m-accretive operators in Banach spaces. We investigate the condition of coefficients more deeply, and obtain weak convergence of an iterative scheme with a weaker coefficient condition.
ISBN:9789814467896
9814273511
9789814273503
9814467898
9789814273510
9814273503
DOI:10.1142/9789814273510_0019