The Tikhonov Regularization Method for Set-Valued Variational Inequalities
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 an...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/172061 |
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| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |