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000824526 019__ $$a1011630707$$a1017794274$$a1032271068
000824526 020__ $$a9783319630496$$q(electronic book)
000824526 020__ $$a3319630490$$q(electronic book)
000824526 020__ $$z9783319630489
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000824526 0247_ $$a10.1007/978-3-319-63049-6$$2doi
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000824526 049__ $$aISEA
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000824526 08204 $$a515/.64$$223
000824526 1001_ $$aAnsari, Qamrul Hasan.
000824526 24510 $$aVector variational inequalities and vector optimization :$$btheory and applications /$$cQamrul Hasan Ansari, Elisabeth Köbis, Jen-Chih Yao.
000824526 260__ $$aCham :$$bSpringer International Publishing,$$c©2018.
000824526 300__ $$a1 online resource (517 pages).
000824526 336__ $$atext$$btxt$$2rdacontent
000824526 337__ $$acomputer$$bc$$2rdamedia
000824526 338__ $$aonline resource$$bcr$$2rdacarrier
000824526 347__ $$atext file$$bPDF$$2rda
000824526 4901_ $$aVector Optimization
000824526 504__ $$aIncludes bibliographical references and index.
000824526 5050_ $$aPreliminaries -- 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.
000824526 506__ $$aAccess limited to authorized users.
000824526 520__ $$aThis 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.
000824526 588__ $$aDescription based on print version record.
000824526 650_0 $$aVariational inequalities (Mathematics)
000824526 650_0 $$aVector spaces.
000824526 7001_ $$aKöbis, Elisabeth.
000824526 7001_ $$aYao, Jen-Chih.
000824526 77608 $$iPrint version:$$aAnsari, Qamrul Hasan.$$tVector Variational Inequalities and Vector Optimization : Theory and Applications.$$dCham : Springer International Publishing, ©2018$$z9783319630489
000824526 830_0 $$aVector optimization.
000824526 852__ $$bebk
000824526 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-63049-6$$zOnline Access$$91397441.1
000824526 909CO $$ooai:library.usi.edu:824526$$pGLOBAL_SET
000824526 980__ $$aEBOOK
000824526 980__ $$aBIB
000824526 982__ $$aEbook
000824526 983__ $$aOnline
000824526 994__ $$a92$$bISE