Regularization Inertial Proximal Point Algorithm for Monotone Hemicontinuous Mapping and Inverse Strongly Monotone Mappings in Hilbert Spaces
<p/> <p>The purpose of this paper is to present a regularization variant of the inertial proximal point algorithm for finding a common element of the set of solutions for a variational inequality problem involving a hemicontinuous monotone mapping <inline-formula> <graphic file=...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2010/451916 |
| Summary: | <p/> <p>The purpose of this paper is to present a regularization variant of the inertial proximal point algorithm for finding a common element of the set of solutions for a variational inequality problem involving a hemicontinuous monotone mapping <inline-formula> <graphic file="1029-242X-2010-451916-i1.gif"/></inline-formula> and for a finite family of <inline-formula> <graphic file="1029-242X-2010-451916-i2.gif"/></inline-formula>-inverse strongly monotone mappings <inline-formula> <graphic file="1029-242X-2010-451916-i3.gif"/></inline-formula> from a closed convex subset <inline-formula> <graphic file="1029-242X-2010-451916-i4.gif"/></inline-formula> of a Hilbert space <inline-formula> <graphic file="1029-242X-2010-451916-i5.gif"/></inline-formula> into <inline-formula> <graphic file="1029-242X-2010-451916-i6.gif"/></inline-formula>.</p> |
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| ISSN: | 1025-5834 1029-242X |