Abstract
The purpose of this paper is by using Maingé's approach to study the existence and approximation problem of solutions for a class of hierarchical variational inclusion problems in the setting of Hilbert spaces. As applications, we solve the convex programming problems and quadratic minimization problems by using the main theorems. Our results extend and improve the corresponding recent results announced by many authors.
Original language | English |
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Article number | 179 |
Journal | Fixed Point Theory and Applications |
Volume | 2013 |
DOIs | |
Publication status | Published - 1 Jan 2013 |
Keywords
- Demiclosed principle
- Hierarchical optimization problems
- Hierarchical variational inclusion problem
- Hierarchical variational inequality problem
- Quasi-nonexpansive mapping
- Strongly quasi-nonexpansive mapping
ASJC Scopus subject areas
- Geometry and Topology
- Applied Mathematics