TITLE:
Strong Convergence Results for Hierarchical Circularly Iterative Method about Hierarchical Circularly Optimization
AUTHORS:
Hongbo Liu
KEYWORDS:
Hierarchical Optimization Problems; Circularly Variational Inequalities; Fixed Point; Hierarchical Circularly Iterative Sequence; Strongly Quasi-Nonexpansive Mapping
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.3 No.7,
October
17,
2013
ABSTRACT:
An hierarchical circularly iterative method is introduced for solving a system of variational circularly inequalities with set of fixed points of strongly quasi-nonexpansive mapping problems in this paper. Under some suitable conditions, strong convergence results for the hierarchical circularly iterative sequence are proved in the setting of Hilbert spaces. Our scheme can be regarded as a more general variant of the algorithm proposed by Maingé.