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Zbl 1147.65049
Yao, Yonghong; Noor, Muhammad Aslam
On convergence criteria of generalized proximal point algorithms. (English)
[J] J. Comput. Appl. Math. 217, No. 1, 46-55 (2008). ISSN 0377-0427

The authors analyze some generalized proximal point algorithms for finding a zero of maximal monotone operators, which include the previously known proximal point algorithms as special cases. Weak and strong convergence of the proposed proximal point algorithms are proved under some mild conditions. No numerical tests are presented.
[Hans Benker (Merseburg)]

MSC 2000:: *65K10 Optimization techniques (numerical methods)
49J40 Variational methods including variational inequalities

Keywords: maximal monotone operator; proximal point algorithm; nonexpansive mapping; resolvent identity; convergence; variational inequality

Cited in: Zbl 1248.47057

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