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Krasnoselski–Mann iteration for hierarchical fixed-point problems. (English) Zbl 1128.47060

This paper deals with an iteration method for the fixed point problem in a Hilbert space. One theorem is proved and an extended Krasnoselskiĭ–Mann iteration process is presented. The considered class covers monotone variational inequalities and minimization problems.

MSC:

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