000724242 000__ 03511cam\a2200517Ii\4500
000724242 001__ 724242
000724242 005__ 20230306140429.0
000724242 006__ m\\\\\o\\d\\\\\\\\
000724242 007__ cr\cn\nnnunnun
000724242 008__ 141110s2015\\\\gw\a\\\\ob\\\\001\0\eng\d
000724242 019__ $$a908089158
000724242 020__ $$a9783642542657$$qelectronic book
000724242 020__ $$a3642542654$$qelectronic book
000724242 020__ $$z9783642542640
000724242 0247_ $$a10.1007/978-3-642-54265-7$$2doi
000724242 035__ $$aSP(OCoLC)ocn894915420
000724242 035__ $$aSP(OCoLC)894915420$$z(OCoLC)908089158
000724242 040__ $$aN$T$$beng$$erda$$epn$$cN$T$$dGW5XE$$dCOO$$dYDXCP$$dOCLCF$$dIDEBK$$dEBLCP
000724242 049__ $$aISEA
000724242 050_4 $$aQA1
000724242 08204 $$a519.3$$223
000724242 1001_ $$aKhan, Akhtar A.,$$eauthor.
000724242 24510 $$aSet-valued optimization$$h[electronic resource] :$$ban introduction with applications /$$cAkhtar A. Khan, Christiane Tammer, Constantin Zălinescu.
000724242 264_1 $$aBerlin :$$bSpringer,$$c[2015]
000724242 300__ $$a1 online resource (xxii, 765 pages) :$$billustrations.
000724242 336__ $$atext$$btxt$$2rdacontent
000724242 337__ $$acomputer$$bc$$2rdamedia
000724242 338__ $$aonline resource$$bcr$$2rdacarrier
000724242 4901_ $$aVector Optimization,$$x1867-8971
000724242 504__ $$aIncludes bibliographical references and index.
000724242 5050_ $$aIntroduction -- Order Relations and Ordering Cones -- Continuity and Differentiability -- Tangent Cones and Tangent Sets -- Nonconvex Separation Theorems -- Hahn-Banach Type Theorems -- Hahn-Banach Type Theorems -- Conjugates and Subdifferentials -- Duality -- Existence Results for Minimal Points -- Ekeland Variational Principle -- Derivatives and Epiderivatives of Set-valued Maps -- Optimality Conditions in Set-valued Optimization -- Sensitivity Analysis in Set-valued Optimization and Vector Variational Inequalities -- Numerical Methods for Solving Set-valued Optimization Problems -- Applications.
000724242 506__ $$aAccess limited to authorized users.
000724242 520__ $$aSet-valued optimization is a vibrant and expanding branch of mathematics that deals with optimization problems where the objective map and/or the constraints maps are set-valued maps acting between certain spaces. Since set-valued maps subsumes single valued maps, set-valued optimization provides an important extension and unification of the scalar as well as the vector optimization problems. Therefore this relatively new discipline has justifiably attracted a great deal of attention in recent years. This book presents, in a unified framework, basic properties on ordering relations, solution concepts for set-valued optimization problems, a detailed description of convex set-valued maps, most recent developments in separation theorems, scalarization techniques, variational principles, tangent cones of first and higher order, sub-differential of set-valued maps, generalized derivatives of set-valued maps, sensitivity analysis, optimality conditions, duality, and applications in economics among other things.
000724242 588__ $$aOnline resource; title from PDF title page (viewed November 10, 2014).
000724242 650_0 $$aDuality theory (Mathematics)
000724242 650_0 $$aMathematical optimization.
000724242 650_0 $$aSet-valued maps.
000724242 650_0 $$aProgramming (Mathematics)
000724242 7001_ $$aTammer, Christiane,$$eauthor.
000724242 7001_ $$aZălinescu, Constantin,$$eauthor.
000724242 77608 $$iPrint version:$$z9783642542640
000724242 830_0 $$aVector optimization.
000724242 852__ $$bebk
000724242 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-642-54265-7$$zOnline Access$$91397441.1
000724242 909CO $$ooai:library.usi.edu:724242$$pGLOBAL_SET
000724242 980__ $$aEBOOK
000724242 980__ $$aBIB
000724242 982__ $$aEbook
000724242 983__ $$aOnline
000724242 994__ $$a92$$bISE