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 .
Highlights
Let H be a real Hilbert space with inner product ·, · and norm ·
We recall several well-known facts in 12, 13 which are necessary in the proof of our results
Proposition 2.1. i If F u, v is hemicontinuous in the first variable for each fixed v ∈ K and F is monotone, U∗ V ∗, where U∗ is the solution set of 2.1, V ∗ is the solution set of F u, v∗ ≤ 0 for all u ∈ K, and they are closed and convex
Summary
Let H be a real Hilbert space with inner product ·, · and norm ·.
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