東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Vector variational inequalities and ...

Ansari, Qamrul Hasan.

Linked to FindBook

Google Book

Amazon

博客來

Vector variational inequalities and vector optimization = theory and applications /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Vector variational inequalities and vector optimization/ by Qamrul Hasan Ansari, Elisabeth Kobis, Jen-Chih Yao.
Reminder of title:	theory and applications /
Author:	Ansari, Qamrul Hasan.
other author:	Kobis, Elisabeth.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xiii, 509 p. :ill., digital ;24 cm.
[NT 15003449]:	Preliminaries -- Analysis over Cones -- Solution Concepts in Vector Optimization -- Classical Methods in Vector Optimization -- Vector Variational Inequalities -- Linear Scalarization of Vector Variational Inequalities -- Nonsmooth Vector Variational Inequalities -- Generalized Vector Variational Inequalities -- Vector Equilibrium Problems -- Generalized Vector Equilibrium Problems.
Contained By:	Springer eBooks
Subject:	Variational inequalities (Mathematics) -
Online resource:	http://dx.doi.org/10.1007/978-3-319-63049-6
ISBN:	9783319630496

Vector variational inequalities and vector optimization = theory and applications /
Ansari, Qamrul Hasan.

Vector variational inequalities and vector optimizationtheory and applications /[electronic resource] :by Qamrul Hasan Ansari, Elisabeth Kobis, Jen-Chih Yao. - Cham :Springer International Publishing :2018. - xiii, 509 p. :ill., digital ;24 cm. - Vector optimization,1867-8971. - Vector optimization..

Preliminaries -- Analysis over Cones -- Solution Concepts in Vector Optimization -- Classical Methods in Vector Optimization -- Vector Variational Inequalities -- Linear Scalarization of Vector Variational Inequalities -- Nonsmooth Vector Variational Inequalities -- Generalized Vector Variational Inequalities -- Vector Equilibrium Problems -- Generalized Vector Equilibrium Problems.

This book presents the mathematical theory of vector variational inequalities and their relations with vector optimization problems. It is the first-ever book to introduce well-posedness and sensitivity analysis for vector equilibrium problems. The first chapter provides basic notations and results from the areas of convex analysis, functional analysis, set-valued analysis and fixed-point theory for set-valued maps, as well as a brief introduction to variational inequalities and equilibrium problems. Chapter 2 presents an overview of analysis over cones, including continuity and convexity of vector-valued functions. The book then shifts its focus to solution concepts and classical methods in vector optimization. It describes the formulation of vector variational inequalities and their applications to vector optimization, followed by separate chapters on linear scalarization, nonsmooth and generalized vector variational inequalities. Lastly, the book introduces readers to vector equilibrium problems and generalized vector equilibrium problems. Written in an illustrative and reader-friendly way, the book offers a valuable resource for all researchers whose work involves optimization and vector optimization.

ISBN: 9783319630496

Standard No.: 10.1007/978-3-319-63049-6doiSubjects--Topical Terms:

712918
Variational inequalities (Mathematics)

LC Class. No.: QA316

Dewey Class. No.: 515.64

Vector variational inequalities and vector optimization = theory and applications /
LDR:02679nmm a2200337 a 4500 001 2132022
003 DE-He213
005 20180716100857.0
006 m d
007 cr nn 008maaau
008 181005s2018 gw s 0 eng d
020 $a 9783319630496 $q (electronic bk.)
020 $a 9783319630489 $q (paper)
024 7 $a 10.1007/978-3-319-63049-6 $2 doi
035 $a 978-3-319-63049-6
040 $a GP $c GP
041 0 $a eng
050 4 $a QA316
072 7 $a KJT $2 bicssc
072 7 $a KJMD $2 bicssc
072 7 $a BUS049000 $2 bisacsh
082 0 4 $a 515.64 $2 23
090 $a QA316 $b .A617 2018
100 1 $a Ansari, Qamrul Hasan. $3 1565453
245 1 0 $a Vector variational inequalities and vector optimization $h [electronic resource] : $b theory and applications / $c by Qamrul Hasan Ansari, Elisabeth Kobis, Jen-Chih Yao.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a xiii, 509 p. : $b ill., digital ; $c 24 cm.
490 1 $a Vector optimization, $x 1867-8971
505 0 $a Preliminaries -- Analysis over Cones -- Solution Concepts in Vector Optimization -- Classical Methods in Vector Optimization -- Vector Variational Inequalities -- Linear Scalarization of Vector Variational Inequalities -- Nonsmooth Vector Variational Inequalities -- Generalized Vector Variational Inequalities -- Vector Equilibrium Problems -- Generalized Vector Equilibrium Problems.
520 $a This book presents the mathematical theory of vector variational inequalities and their relations with vector optimization problems. It is the first-ever book to introduce well-posedness and sensitivity analysis for vector equilibrium problems. The first chapter provides basic notations and results from the areas of convex analysis, functional analysis, set-valued analysis and fixed-point theory for set-valued maps, as well as a brief introduction to variational inequalities and equilibrium problems. Chapter 2 presents an overview of analysis over cones, including continuity and convexity of vector-valued functions. The book then shifts its focus to solution concepts and classical methods in vector optimization. It describes the formulation of vector variational inequalities and their applications to vector optimization, followed by separate chapters on linear scalarization, nonsmooth and generalized vector variational inequalities. Lastly, the book introduces readers to vector equilibrium problems and generalized vector equilibrium problems. Written in an illustrative and reader-friendly way, the book offers a valuable resource for all researchers whose work involves optimization and vector optimization.
650 0 $a Variational inequalities (Mathematics) $3 712918
650 0 $a Vector spaces. $3 544240
650 1 4 $a Business and Management. $2 eflch $3 1485455
650 2 4 $a Operations Research/Decision Theory. $3 890895
650 2 4 $a Continuous Optimization. $3 1566748
650 2 4 $a Calculus of Variations and Optimal Control; Optimization. $3 898674
650 2 4 $a Operations Research, Management Science. $3 1532996
700 1 $a Kobis, Elisabeth. $3 3298160
700 1 $a Yao, Jen-Chih. $3 1245743
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Vector optimization. $3 1565454
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-63049-6
950 $a Business and Management (Springer-41169)