Journal
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
Volume 36, Issue 7, Pages 867-886Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/01630563.2015.1037591
Keywords
Banach space; Generalized forward-backward splitting method; Generalized proximity operator; P-duality mapping; 49M27; 46M20; 65J22
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Funding
- Scientific Technology Program of the Educational Department Heilongjiang Province [12511161]
- National Natural Sciences Grant [11371116]
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We propose a convergence analysis of the generalized forward-backward splitting iterative procedure for the minimization of the sum of two functions in Banach spaces. The generalized forward-backward splitting method is applied to the minimization of functionals of the Tikhonov type with semi-norm regularization. We also investigate the perturbed forward-backward splitting method and prove its stability.
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