On Maingé's approach for hierarchical optimization problems
type: Item
instance of: scholarly article
title: On Maingé's approach for hierarchical optimization problems
zbMATH Open document ID: 1267.90154
author: Rapeepan Kraikaew
author: Satit Saejung
published in: Journal of Optimization Theory and Applications
publication date: 2012-11-26T00:00:00Z
review text: This paper deals with an iterative method for solving a system of variational inequalities with fixed-point set constraints. Inspired by the iterative scheme for hierarchical optimization problems proposed by Maingé, the authors establish a more general variant of his scheme to obtain a strong convergence theorem on Hilbert space settings. With this new technique, the range of some parameters as it was the case in Maingé's result is relaxed. As a complementary result, the authors show how to adapt these processes to the case when the constraints involve operators belonging to the class of hemi-contractive mappings which is beyond the scope of Maingé's result.
reviewed by: Samir Kumar Neogy
Mathematics Subject Classification ID: 90C33
Mathematics Subject Classification ID: 90C30
zbMATH DE Number: 6110395
zbMATH Keywords: fixed points
zbMATH Keywords: hierarchical optimization problems
zbMATH Keywords: nonexpansive mappings
zbMATH Keywords: variational inequalities
MaRDI profile type: Publication
full work available at URL: s10957-011-9982-4
OpenAlex ID: W2013796833
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DOI: 10.1007/S10957-011-9982-4
description: scientific article; zbMATH DE number 6110395