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We establish some metric characterizations\nfor the well\u2010posed strongly mixed variational\u2010hemivariational inequality and give\nsome conditions under which the strongly mixed variational\u2010hemivariational inequality is\nstrongly well\u2010posed in the generalized sense. On the other hand, it is also proven that under\nsome mild conditions there holds the equivalence between the well posedness for a strongly\nmixed variational\u2010hemivariational inequality and the well\u2010posedness for the corresponding inclusion\nproblem.<\/jats:p>","DOI":"10.1155\/2012\/712306","type":"journal-article","created":{"date-parts":[[2012,1,17]],"date-time":"2012-01-17T21:01:12Z","timestamp":1326834072000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Well\u2010Posedness for a Class of Strongly Mixed Variational\u2010Hemivariational Inequalities with Perturbations"],"prefix":"10.1155","volume":"2012","author":[{"given":"Lu-Chuan","family":"Ceng","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ngai-Ching","family":"Wong","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jen-Chih","family":"Yao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2012,1,17]]},"reference":[{"key":"e_1_2_7_1_2","first-page":"631","article-title":"Stability of a problem of optimization of functionals","volume":"6","author":"Tykhonov A. 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