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Strong convergence of a proximal-type algorithm for an occasionally pseudomonotone operator in Banach spaces

✍ Scribed by Hemant Kumar Pathak, Yeol Je Cho


Book ID
119906548
Publisher
Springer International Publishing AG
Year
2012
Tongue
English
Weight
224 KB
Volume
2012
Category
Article
ISSN
1687-1820

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Strong convergence of an iterative algor
✍ Lu-Chuan Ceng; Jen-Chih Yao πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 596 KB

Let E be a uniformly convex Banach space having a uniformly GΓ’teaux differentiable norm, D a nonempty closed convex subset of E, and T : D β†’ K (E) a nonself multimap such that F (T ) = βˆ… and P T is nonexpansive, where F (T ) is the fixed point set of T , K (E) is the family of nonempty compact subse