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First, we generalize the concept of <jats:italic>\u03b1<\/jats:italic>\u2010well\u2010posedness to the system of mixed quasivariational\u2010like inequalities,\nwhich includes symmetric quasi\u2010equilibrium problems as a special case. Second, we establish\nsome metric characterizations of <jats:italic>\u03b1<\/jats:italic>\u2010well\u2010posedness for the system of mixed quasivariational\u2010like\ninequalities. Under some suitable conditions, we prove that the <jats:italic>\u03b1<\/jats:italic>\u2010well\u2010posedness is equivalent to the existence and uniqueness of solution for the system of mixed quasivariational\u2010like\ninequalities. The corresponding concept of <jats:italic>\u03b1<\/jats:italic>\u2010well\u2010posedness in the generalized sense is also\nconsidered for the system of mixed quasivariational\u2010like inequalities having more than one\nsolution. The results presented in this paper generalize and improve some known results in\nthe literature.<\/jats:p>","DOI":"10.1155\/2012\/264721","type":"journal-article","created":{"date-parts":[[2011,12,3]],"date-time":"2011-12-03T04:07:04Z","timestamp":1322885224000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Metric Characterizations of <i>\u03b1<\/i>\u2010Well\u2010Posedness for a System ofMixed Quasivariational\u2010Like Inequalities in Banach Spaces"],"prefix":"10.1155","volume":"2012","author":[{"given":"L. C.","family":"Ceng","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Y. 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