Well‐Posedness for a Class of Strongly Mixed Variational‐Hemivariational Inequalities with Perturbations

Lu-Chuan Ceng, Ngai-Ching Wong and Jen-Chih Yao

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

Abstract: The concept of well‐posedness for a minimization problem is extended to develop the concept of well‐posedness for a class of strongly mixed variational‐hemivariational inequalities with perturbations which includes as a special case the class of variational‐hemivariational inequalities with perturbations. We establish some metric characterizations for the well‐posed strongly mixed variational‐hemivariational inequality and give some conditions under which the strongly mixed variational‐hemivariational inequality is strongly well‐posed in the generalized sense. On the other hand, it is also proven that under some mild conditions there holds the equivalence between the well posedness for a strongly mixed variational‐hemivariational inequality and the well‐posedness for the corresponding inclusion problem.

Date: 2012
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https://doi.org/10.1155/2012/712306

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:712306

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