On convergence criteria of generalized proximal point algorithms

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摘要

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.

论文关键词：49J40,47J20,65J15,Maximal monotone operator,Proximal point algorithm,Nonexpansive mapping,Resolvent identity,Convergence analysis

论文评审过程：Received 31 May 2006, Revised 13 June 2007, Available online 16 June 2007.

论文官网地址：https://doi.org/10.1016/j.cam.2007.06.013