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Based on the subdifferential variational principle, we obtain new necessary conditions for suboptimal solutions in general nonsmooth optimization problems with equality, inequality, and set constraints in Asplund spaces. In this way we establish the so-called sequential normal compactness properties of constraint sets that play an essential role in infinite-dimensional variational analysis and its applications. As a by-product of our approach, we derive various forms of necessary optimality conditions for nonsmooth constrained problems in infinite dimensions, which extend known results in that direction.<\/jats:p>","DOI":"10.1137\/s0363012900374816","type":"journal-article","created":{"date-parts":[[2003,6,11]],"date-time":"2003-06-11T11:12:06Z","timestamp":1055329926000},"page":"623-640","source":"Crossref","is-referenced-by-count":51,"title":["Necessary Suboptimality and Optimality Conditions via Variational Principles"],"prefix":"10.1137","volume":"41","author":[{"given":"Boris S.","family":"Mordukhovich","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Bingwu","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,26]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.1998.6157"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1987-0902782-7"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1016\/0362-546X(85)90095-1"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-98-01984-9"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1080\/01630569408816574"},{"key":"R6","volume-title":"Smoothness and renormings in Banach spaces","author":"Deville Robert","year":"1993"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(74)90025-0"},{"key":"R8","first-page":"51","volume":"30","author":"Fabi\u00e1n Mari\u00e1n","year":"1989","journal-title":"Acta Univ. 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