The Tikhonov Regularization Method for Set‐Valued Variational Inequalities | Zendy

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The Tikhonov Regularization Method for Set‐Valued Variational Inequalities

Author(s) -

Yiran He

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/172061

Subject(s) - tikhonov regularization , mathematics , variational inequality , regularization (linguistics) , inequality , set (abstract data type) , mathematical analysis , pure mathematics , inverse problem , computer science , artificial intelligence , programming language

This paper aims to establish the Tikhonov regularization theory for set-valuedvariational inequalities. For this purpose, we firstly prove a very general existenceresult for set-valued variational inequalities, provided that the mapping involvedhas the so-called variational inequality property and satisfies a rather weak coercivitycondition. The result on the Tikhonov regularization improves some known resultsproved for single-valued mapping

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