The Tikhonov Regularization Method for Set-Valued Variational Inequalities

Yiran He

Abstract and Applied Analysis, 2012, vol. 2012, 1-10

Abstract:

This paper aims to establish the Tikhonov regularization theory for set-valued variational inequalities. For this purpose, we firstly prove a very general existence result for set-valued variational inequalities, provided that the mapping involved has the so-called variational inequality property and satisfies a rather weak coercivity condition. The result on the Tikhonov regularization improves some known results proved for single-valued mapping.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:172061

DOI: 10.1155/2012/172061

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