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http://hdl.handle.net/10397/14593
| Title: | On the hierarchical variational inclusion problems in Hilbert spaces | Authors: | Chang, SS Kim, JK Lee, HWJ Chan, CK |
Issue Date: | 2013 | Source: | Fixed point theory and applications, 2013, v. 2013, 179, p. 1-16 | 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. | Keywords: | Demiclosed principle Hierarchical optimization problems Hierarchical variational inclusion problem Hierarchical variational inequality problem Quasi-nonexpansive mapping Strongly quasi-nonexpansive mapping |
Publisher: | Springer | Journal: | Fixed point theory and applications | ISSN: | 1687-1820 | EISSN: | 1687-1812 | DOI: | 10.1186/1687-1812-2013-179 | Rights: | ©2013 Chang et al.; licensee Springer. This is an Open Access article distributed under the terms of the Creative Commons Attribu-tion License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in anymedium, provided the original work is properly cited. The following publication Chang, S. S., Kim, J. K., Lee, H. W. J., & Chan, C. K. (2013). On the hierarchical variational inclusion problems in Hilbert spaces. Fixed Point Theory and Applications, 2013, 179, 1-16 is available at https://dx.doi.org/10.1186/1687-1812-2013-179 |
| Appears in Collections: | Journal/Magazine Article |
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| Chang_Hierarchical_Variational_Inclusion.pdf | 363.8 kB | Adobe PDF | View/Open |
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