000			02250 a2200229 4500
005			20190530124019.0
008			190530b xxu||||| |||| 00| 0 eng d
020			_a9783319927732
040			_cIIT Kanpur
041			_aeng
082			_a515.64 _bM812v
100			_aMordukhovich, Boris S.
245			_aVariational analysis and applications _cBoris S. Mordukhovich
260			_bSpringer _c2018 _aSwitzerland
300			_axix, 622p
440			_aSpringer monographs in mathematics
490			_a / edited by Isabelle Gallagher
520			_aBuilding on fundamental results in variational analysis, this monograph presents new and recent developments in the field as well as selected applications. Accessible to a broad spectrum of potential readers, the main material is presented in finite-dimensional spaces. Infinite-dimensional developments are discussed at the end of each chapter with comprehensive commentaries which emphasize the essence of major results, track the genesis of ideas, provide historical comments, and illuminate challenging open questions and directions for future research. The first half of the book (Chapters 1–6) gives a systematic exposition of key concepts and facts, containing basic material as well as some recent and new developments. These first chapters are particularly accessible to masters/doctoral students taking courses in modern optimization, variational analysis, applied analysis, variational inequalities, and variational methods. The reader’s development of skills will be facilitated as they work through each, or a portion of, the multitude of exercises of varying levels. Additionally, the reader may find hints and references to more difficult exercises and are encouraged to receive further inspiration from the gems in chapter commentaries. Chapters 7–10 focus on recent results and applications of variational analysis to advanced problems in modern optimization theory, including its hierarchical and multiobjective aspects, as well as microeconomics, and related areas. It will be of great use to researchers and professionals in applied and behavioral sciences and engineering.
650			_aMathematical optimization
650			_aDifferential equations
942			_cBK
999			_c560280 _d560280