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2013 Gap Functions and Algorithms for Variational Inequality Problems
Congjun Zhang, Baoqing Liu, Jun Wei
J. Appl. Math. 2013: 1-7 (2013). DOI: 10.1155/2013/965640

Abstract

We solve several kinds of variational inequality problems through gap functions, give algorithms for the corresponding problems, obtain global error bounds, and make the convergence analysis. By generalized gap functions and generalized D-gap functions, we give global bounds for the set-valued mixed variational inequality problems. And through gap function, we equivalently transform the generalized variational inequality problem into a constraint optimization problem, give the steepest descent method, and show the convergence of the method.

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Congjun Zhang. Baoqing Liu. Jun Wei. "Gap Functions and Algorithms for Variational Inequality Problems." J. Appl. Math. 2013 1 - 7, 2013. https://doi.org/10.1155/2013/965640

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950965
MathSciNet: MR3127448
Digital Object Identifier: 10.1155/2013/965640

Rights: Copyright © 2013 Hindawi

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