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

被引:0
作者
JongKyu Kim
Nguyen Buong
机构
[1] Kyungnam University,Department of Mathematics Education
[2] Institute of Information Technology,Department of Mathematics, Vietnamse Academy of Science and Technology
来源
Journal of Inequalities and Applications | / 2010卷
关键词
Hilbert Space; Variational Inequality; Weak Convergence; Monotone Mapping; Nonexpansive Mapping;
D O I
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摘要
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-graphic not available: see fulltext] and for a finite family of [inline-graphic not available: see fulltext]-inverse strongly monotone mappings [inline-graphic not available: see fulltext] from a closed convex subset [inline-graphic not available: see fulltext] of a Hilbert space [inline-graphic not available: see fulltext] into [inline-graphic not available: see fulltext].
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