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Vector optimization and monotone operators via convex duality[electronic resource] :recent advances /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	519.6
書名/作者:	Vector optimization and monotone operators via convex duality : recent advances // by Sorin-Mihai Grad.
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.
標題:	Vector spaces.
標題:	Duality theory (Mathematics)
標題:	Convex functions.
標題:	Economics/Management Science.
標題:	Operation Research/Decision Theory.
標題:	Optimization.
標題:	Continuous Optimization.
ISBN:	9783319089003 (electronic bk.)
ISBN:	9783319088990 (paper)
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-08900-3

Vector optimization and monotone operators via convex duality[electronic resource] :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:

176332
Mathematical optimization.

LC Class. No.: QA402.5

Dewey Class. No.: 519.6

Vector optimization and monotone operators via convex duality[electronic resource] :recent advances /
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