On the hierarchical variational inclusion problems in Hilbert spaces

Shih-sen Chang,Jong Kyu Kim,HW Joseph Lee, Chi Kin Chun

Fixed Point Theory and Applications（2013）

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摘要

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. MSC: 47J05, 47H09, 49J25.

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关键词

hierarchical variational inclusion problem, hierarchical variational inequality problem, hierarchical optimization problems, quasi-nonexpansive mapping, strongly quasi-nonexpansive mapping, demiclosed principle

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