Regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in Banach spaces-Reference-Cited by-同舟云学术

Regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in Banach spaces

Published:2011-09-16 Issue:1 Volume:2011 Page:
ISSN:1687-1812
Container-title:Fixed Point Theory and Applications
language:en
Short-container-title:Fixed Point Theory Appl

Author:

Kim Jong Kyu,Tuyen Truong Minh

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology

Link

http://link.springer.com/content/pdf/10.1186/1687-1812-2011-52.pdf

Reference14 articles.

1. Rockaffelar RT: Monotone operators and proximal point algorithm. In J Control Optim. Volume 14. SIAM; 1976:887–897.

2. Güler O: On the convergence of the proximal point algorithm for convex minimization. In J Control Optim. Volume 29. SIAM; 1991:403–419. 10.1137/0329022

3. Solodov MV, Svaiter BF: Forcing strong convergence of proximal point iteration in Hilert space. Math Program Ser A 2000, 87: 189–202.

4. Kamimura S, Takahashi W: Strong convergence of a proximal-type algorithm in Banach spaces. In J Control Optim. Volume 13. SIAM; 2002:938–945.

5. Lehdili N, Moudafi A: Combining the proximal algorithm and Tikhonov regularization. Optimization 1996, 37: 239–252. 10.1080/02331939608844217

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