國立虎尾科技大學 |

Vector optimization and monotone operators via convex duality = recent advances /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Vector optimization and monotone operators via convex duality/ by Sorin-Mihai Grad.
其他題名:	recent advances /
作者:	Grad, Sorin-Mihai.
出版者:	Cham :Springer International Publishing : : 2015.,
面頁冊數:	xvii, 269 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Mathematical optimization. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-08900-3
ISBN:	9783319089003 (electronic bk.)

Vector optimization and monotone operators via convex duality = recent advances /
Grad, Sorin-Mihai.

Vector optimization and monotone operators via convex dualityrecent advances /[electronic resource] :by Sorin-Mihai Grad. - Cham :Springer International Publishing :2015. - xvii, 269 p. :ill., digital ;24 cm. - Vector optimization,1867-8971. - Vector optimization..

Introduction and preliminaries -- Duality for scalar optimization problems -- Minimality concepts for sets -- Vector duality via scalarization for vector optimization problems -- General Wolfe and Mond-Weir duality -- Vector duality for linear and semidefinite vector optimization problems -- Monotone operators approached via convex Analysis.

This book investigates several duality approaches for vector optimization problems, while also comparing them. Special attention is paid to duality for linear vector optimization problems, for which a vector dual that avoids the shortcomings of the classical ones is proposed. Moreover, the book addresses different efficiency concepts for vector optimization problems. Among the problems that appear when the framework is generalized by considering set-valued functions, an increasing interest is generated by those involving monotone operators, especially now that new methods for approaching them by means of convex analysis have been developed. Following this path, the book provides several results on different properties of sums of monotone operators.

ISBN: 9783319089003 (electronic bk.)

Standard No.: 10.1007/978-3-319-08900-3doiSubjects--Topical Terms:

527675
Mathematical optimization.

LC Class. No.: QA402.5

Dewey Class. No.: 519.6

Vector optimization and monotone operators via convex duality = recent advances /
LDR:02135nam a2200337 a 4500 001 834287
003 DE-He213
005 20150528134854.0
006 m d
007 cr nn 008maaau
008 160421s2015 gw s 0 eng d
020 $a 9783319089003 (electronic bk.)
020 $a 9783319088990 (paper)
024 7 $a 10.1007/978-3-319-08900-3 $2 doi
035 $a 978-3-319-08900-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA402.5
072 7 $a KJT $2 bicssc
072 7 $a KJMD $2 bicssc
072 7 $a BUS049000 $2 bisacsh
082 0 4 $a 519.6 $2 23
090 $a QA402.5 $b .G732 2015
100 1 $a Grad, Sorin-Mihai. $3 881447
245 1 0 $a Vector optimization and monotone operators via convex duality $h [electronic resource] : $b recent advances / $c by Sorin-Mihai Grad.
260 $a Cham : $c 2015. $b Springer International Publishing : $b Imprint: Springer,
300 $a xvii, 269 p. : $b ill., digital ; $c 24 cm.
490 1 $a Vector optimization, $x 1867-8971
505 0 $a Introduction and preliminaries -- Duality for scalar optimization problems -- Minimality concepts for sets -- Vector duality via scalarization for vector optimization problems -- General Wolfe and Mond-Weir duality -- Vector duality for linear and semidefinite vector optimization problems -- Monotone operators approached via convex Analysis.
520 $a This book investigates several duality approaches for vector optimization problems, while also comparing them. Special attention is paid to duality for linear vector optimization problems, for which a vector dual that avoids the shortcomings of the classical ones is proposed. Moreover, the book addresses different efficiency concepts for vector optimization problems. Among the problems that appear when the framework is generalized by considering set-valued functions, an increasing interest is generated by those involving monotone operators, especially now that new methods for approaching them by means of convex analysis have been developed. Following this path, the book provides several results on different properties of sums of monotone operators.
650 0 $a Mathematical optimization. $3 527675
650 0 $a Vector spaces. $3 528614
650 0 $a Duality theory (Mathematics) $3 527743
650 0 $a Convex functions. $3 527742
650 1 4 $a Economics/Management Science. $3 669170
650 2 4 $a Operation Research/Decision Theory. $3 881408
650 2 4 $a Optimization. $3 669174
650 2 4 $a Continuous Optimization. $3 888956
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Vector optimization. $3 881449
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-08900-3
950 $a Business and Economics (Springer-11643)