A PROXIMAL METHOD FOR PSEUDOMONOTONE TYPE VARIATIONAL-LIKE INEQUALITIES

Siegfried Schaible, Jen-Chih Yao, Lu-Chuan Zeng

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Source: Crossref

Published: Feb 1, 2006

DOI: 10.11650/twjm/1500403839

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Source abstract

The purpose of this paper is to investigate the convergence of a proximal method for solving pseudomonotone type variational-like inequalities. The main result is given for the finite-dimensional case. However convergence can still be obtained in an infinite-dimensional Hilbert space under a strong pseudomonotone type assumption or a pseudo-Dunn type one on the operator involved.

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