000 05391cam a2200649Ma 4500
001 9781315177991
003 FlBoTFG
005 20220711212532.0
006 m o d
007 cr |n|||||||||
008 190613s2019 flu ob 001 0 eng d
040 _aOCoLC-P
_beng
_cOCoLC-P
020 _a9781315177991
_q(electronic bk.)
020 _a1315177994
_q(electronic bk.)
020 _a9781351712064
_q(electronic bk.)
020 _a1351712063
_q(electronic bk.)
020 _a9781351712071
_q(electronic bk. : PDF)
020 _a1351712071
_q(electronic bk. : PDF)
020 _a9781351712057
_q(electronic bk. : Mobipocket)
020 _a1351712055
_q(electronic bk. : Mobipocket)
020 _z1138037265
020 _z9781138037267
035 _a(OCoLC)1104324084
_z(OCoLC)1104463477
_z(OCoLC)1104592696
035 _a(OCoLC-P)1104324084
050 4 _aQA315
_b.K43 2019eb
072 7 _aMAT
_x005000
_2bisacsh
072 7 _aMAT
_x034000
_2bisacsh
072 7 _aBUS
_x049000
_2bisacsh
072 7 _aMAT
_x007000
_2bisacsh
072 7 _aMAT
_x037000
_2bisacsh
072 7 _aPBKF
_2bicssc
082 0 4 _a515/.64
_223
100 1 _aKhan, Akhtar A.,
_eauthor.
_917381
245 1 0 _aVariational analysis and set optimization :
_bdevelopments and applications in decision making /
_cAkhtar A. Khan (Center for Applied and Computational Mathematics, School of Mathematical Sciences, Rochester Institute of Technology, Rochester, NY, USA), Elisabeth Köbis (Institute of Mathematics, Martin-Luther-University, Halle-Wittenberg, Faculty of Natural Sciences II, Halle, Germany), Christiane Tammer (Institute of Mathematics, Martin-Luther-University Halle-Wittenberg, Halle, Germany).
260 _aBoca Raton, FL :
_bCRC Press,
_c2019.
300 _a1 online resource
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _a"A science publishers book."
520 _aThis book contains the latest advances in variational analysis and set / vector optimization, including uncertain optimization, optimal control and bilevel optimization. Recent developments concerning scalarization techniques, necessary and sufficient optimality conditions and duality statements are given. New numerical methods for efficiently solving set optimization problems are provided. Moreover, applications in economics, finance and risk theory are discussed. Summary The objective of this book is to present advances in different areas of variational analysis and set optimization, especially uncertain optimization, optimal control and bilevel optimization. Uncertain optimization problems will be approached from both a stochastic as well as a robust point of view. This leads to different interpretations of the solutions, which widens the choices for a decision-maker given his preferences. Recent developments regarding linear and nonlinear scalarization techniques with solid and nonsolid ordering cones for solving set optimization problems are discussed in this book. These results are useful for deriving optimality conditions for set and vector optimization problems. Consequently, necessary and sufficient optimality conditions are presented within this book, both in terms of scalarization as well as generalized derivatives. Moreover, an overview of existing duality statements and new duality assertions is given. The book also addresses the field of variable domination structures in vector and set optimization. Including variable ordering cones is especially important in applications such as medical image registration with uncertainties. This book covers a wide range of applications of set optimization. These range from finance, investment, insurance, control theory, economics to risk theory. As uncertain multi-objective optimization, especially robust approaches, lead to set optimization, one main focus of this book is uncertain optimization. Important recent developments concerning numerical methods for solving set optimization problems sufficiently fast are main features of this book. These are illustrated by various examples as well as easy-to-follow-steps in order to facilitate the decision process for users. Simple techniques aimed at practitioners working in the fields of mathematical programming, finance and portfolio selection are presented. These will help in the decision-making process, as well as give an overview of nondominated solutions to choose from.
588 _aOCLC-licensed vendor bibliographic record.
650 0 _aCalculus of variations.
_917382
650 0 _aMathematical analysis.
_911486
650 0 _aVariational inequalities (Mathematics)
_917383
650 0 _aMathematical optimization.
_94112
650 7 _aMATHEMATICS / Calculus.
_2bisacsh
_95469
650 7 _aMATHEMATICS / Mathematical Analysis.
_2bisacsh
_95470
650 7 _aBUSINESS & ECONOMICS / Operations Research
_2bisacsh
_917384
650 7 _aMATHEMATICS / Differential Equations
_2bisacsh
_911294
650 7 _aMATHEMATICS / Functional Analysis
_2bisacsh
_912912
700 1 _aKöbis, Elisabeth,
_eauthor.
_917385
700 1 _aTammer, Christiane,
_eauthor.
_917386
856 4 0 _3Taylor & Francis
_uhttps://www.taylorfrancis.com/books/9781315177991
856 4 2 _3OCLC metadata license agreement
_uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
942 _cEBK
999 _c71513
_d71513