On convergence criteria of generalized proximal point algorithms

Authors:
Yonghong Yao;Muhammad Aslam Noor
Affiliations:
Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China;Mathematics Department, COMSATS Institute of Information Technology, Islamabad, Pakistan
Venue:
Journal of Computational and Applied Mathematics
Year:
2008

Citing 2
Cited 1

On the convergence of the proximal point algorithm for convex minimization

SIAM Journal on Control and Optimization
On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators

Mathematical Programming: Series A and B

On the contraction-proximal point algorithms with multi-parameters

Journal of Global Optimization

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Abstract

We analyze some generalized proximal point algorithms 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.