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.


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