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Wei, Li; Su, Yongfu; Zhou, Haiyun

New iterative schemes for strongly relatively nonexpansive mappings and maximal monotone operators. (English) Zbl 1225.47117

Appl. Math., Ser. B (Engl. Ed.) 25, No. 2, 199-208 (2010).
Summary: In this paper, some new iterative schemes for approximating the common element of the set of fixed points of strongly relatively nonexpansive mappings and the set of zero points of maximal monotone operators in a real uniformly smooth and uniformly convex Banach space are proposed. Some weak convergence theorems are obtained, which extend and complement some previous work.

Cited in 1 Review
Cited in 3 Documents

MSC:

47J25 Iterative procedures involving nonlinear operators
47H05 Monotone operators and generalizations
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
47H10 Fixed-point theorems

Keywords:

strongly relatively nonexpansive mapping; maximal monotone operator; zero point; fixed point; weak convergence
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\textit{L. Wei} et al., Appl. Math., Ser. B (Engl. Ed.) 25, No. 2, 199--208 (2010; Zbl 1225.47117)
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References:

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