On the hierarchical variational inclusion problems in Hilbert spaces

Fixexd point theory and applications

Shih-sen Chang¹  HW Joseph Lee²  Chi Kin Chun²  Jong Kyu Kim³ 

[1] College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, Yunnan, China;Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, China;Department of Mathematics Education, Kyungnam University, Changwon, Gyeongnam, Korea

关键词: hierarchical variational inclusion problem;    hierarchical variational inequality problem;    hierarchical optimization problems;    quasi-nonexpansive mapping;    strongly quasi-nonexpansive mapping;    demiclosed principle;   

DOI  :  10.1186/1687-1812-2013-179

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY