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Regularization Inertial Proximal Point Algorithm for Monotone Hemicontinuous Mapping and Inverse Strongly Monotone Mappings in Hilbert Spaces

Authors :
Nguyen Buong
Jong Kyu Kim
Source :
Journal of Inequalities and Applications, Vol 2010 (2010)
Publication Year :
2010
Publisher :
SpringerOpen, 2010.

Abstract

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 A and for a finite family of λi-inverse strongly monotone mappings {Ai}i=1N from a closed convex subset K of a Hilbert space H into H.

Subjects

Subjects :
Mathematics
QA1-939

Details

Language :
English
ISSN :
10255834 and 1029242X
Volume :
2010
Database :
Directory of Open Access Journals
Journal :
Journal of Inequalities and Applications
Publication Type :
Academic Journal
Accession number :
edsdoj.71cea9e7119b4e1ba20005ebc5724059
Document Type :
article
Full Text :
https://doi.org/10.1155/2010/451916