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A note on Solodov and Tseng’s methods for maximal monotone mappings

✍ Scribed by Jinling Zhao; Qingzhi Yang; Hongxiu Gao

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
258 KB
Volume
234
Category
Article
ISSN
0377-0427

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✦ Synopsis

This paper considers the problem of finding a zero of the sum of a single-valued Lipschitz continuous mapping A and a maximal monotone mapping B in a closed convex set C . We first give some projection-type methods and extend a modified projection method proposed by Solodov and Tseng for the special case of B = N C to this problem, then we give a refinement of Tseng's method that replaces P C by P C k . Finally, convergence of these methods is established.

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