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

Authors: Kim Jong Kyu, Nguyễn Bường,

https://doi.org/10.1155/2010/451916

Publisher, magazine: ,

Publication year: 2010

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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 and for a finite family of -inverse strongly monotone mappings from a closed convex subset of a Hilbert space into .

Tags: regularization; inertial proximal point algorithm; variational inequality; hemicontinuous monotone mapping; λi-inverse strongly monotone mapping