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Variable metric quasi-Fejér monotonicity. (English) Zbl 1266.65087
The authors generalize the context of quasi-Fejér monotonicity to variable metrics in Hilbert spaces for convergence analysis of various algorithms in applied nonlinear analysis. Both weak and strong convergence are established while the underlying norm may vary at each iteration. Applications to convex feasibility and inverse problems are discussed and illustrated with examples.
Reviewer: Zhen Mei (Toronto)

MSC:
65J15 Numerical solutions to equations with nonlinear operators (do not use 65Hxx)
90C25 Convex programming
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
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