The Tikhonov Regularization Method for Set‐Valued Variational Inequalities

Yiran He

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

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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https://doi.org/10.1155/2012/172061

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:172061

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