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.
Reviewer: Stepan Agop Tersian (Rousse)
MSC:
47J25 | Iterative procedures involving nonlinear operators |
47H10 | Fixed-point theorems |
47H09 | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. |