Open Access
2006 AUXILIARY PROBLEM METHOD FOR MIXED VARIATIONAL-LIKE INEQUALITIES
L. C. Zeng, L. J. Lin, J. C. Yao
Taiwanese J. Math. 10(2): 515-529 (2006). DOI: 10.11650/twjm/1500403840

Abstract

This paper deals with the convergence of the algorithm built on the auxiliary problem principle for solving a class of pseudomonotone type mixed variational-like inequalities. The convergence criteria of this method are presented under a joint pseudo-Dunn property or a joint strong pseudomonotonicity assumption on the operators involved in the mixed variational-like inequality problem. Moreover a posteriori error estimation for approximate solutions is also given.

Citation

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L. C. Zeng. L. J. Lin. J. C. Yao. "AUXILIARY PROBLEM METHOD FOR MIXED VARIATIONAL-LIKE INEQUALITIES." Taiwanese J. Math. 10 (2) 515 - 529, 2006. https://doi.org/10.11650/twjm/1500403840

Information

Published: 2006
First available in Project Euclid: 18 July 2017

zbMATH: 1259.49010
MathSciNet: MR2208282
Digital Object Identifier: 10.11650/twjm/1500403840

Subjects:
Primary: 49J30

Keywords: auxiliary problem method , convergence criteria , generalized monotonicity , pseudomonotonicity , variational-like inequalities

Rights: Copyright © 2006 The Mathematical Society of the Republic of China

Vol.10 • No. 2 • 2006
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