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001484787 001__ 1484787
001484787 003__ OCoLC
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001484787 019__ $$a1413371950
001484787 020__ $$a9783031365348$$q(electronic bk.)
001484787 020__ $$a3031365348$$q(electronic bk.)
001484787 020__ $$z9783031365331
001484787 020__ $$z303136533X
001484787 0247_ $$a10.1007/978-3-031-36534-8$$2doi
001484787 035__ $$aSP(OCoLC)1415203535
001484787 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDX
001484787 049__ $$aISEA
001484787 050_4 $$aQA611.3
001484787 08204 $$a514.32$$223/eng/20231219
001484787 1001_ $$aGöpfert, A.$$q(Alfred),$$eauthor.$$1https://isni.org/isni/0000000109633427
001484787 24510 $$aVariational methods in partially ordered spaces /$$cAlfred Göpfert, Hassan Riahi, Christiane Tammer, Constantin Zalinescu.
001484787 250__ $$aSecond edition.
001484787 264_1 $$aCham :$$bSpringer,$$c2023.
001484787 300__ $$a1 online resource (550 pages) :$$billustrations (black and white, and color).
001484787 336__ $$atext$$btxt$$2rdacontent
001484787 337__ $$acomputer$$bc$$2rdamedia
001484787 338__ $$aonline resource$$bcr$$2rdacarrier
001484787 4901_ $$aCMS/CAIMS books in mathematics ;$$vvolume 7
001484787 5050_ $$aExamples -- Functional Analysis over Cones -- Optimization in Partially Ordered Spaces -- Applications.
001484787 506__ $$aAccess limited to authorized users.
001484787 520__ $$aIn mathematical modeling of processes occurring in logistics, management science, operations research, networks, mathematical finance, medicine, and control theory, one often encounters optimization problems involving more than one objective function so that Multiobjective Optimization (or Vector Optimization, initiated by W. Pareto) has received new impetus. The growing interest in vector optimization problems, both from the theoretical point of view and as it concerns applications to real world optimization problems, asks for a general scheme which embraces several existing developments and stimulates new ones. This book aims to provide the newest results and applications of this quickly growing field. Basic tools of partially ordered spaces are discussed and applied to variational methods in nonlinear analysis and to optimization problems. The book begins by providing simple examples that illustrate what kind of problems can be handled with the methods presented. The book then deals with connections between order structures and topological structures of sets, discusses properties of nonlinear scalarization functions, and derives corresponding separation theorems for not necessarily convex sets. Furthermore, characterizations of set relations via scalarization are presented. Important topological properties of multifunctions and new results concerning the theory of vector optimization and equilibrium problems are presented in the book. These results are applied to construct numerical algorithms, especially, proximal-point algorithms and geometric algorithms based on duality assertions. In the second edition, new sections about set less relations, optimality conditions in set optimization and the asymptotic behavior of multiobjective Pareto-equilibrium problems have been incorporated. Furthermore, a new chapter regarding scalar optimization problems under uncertainty and robust counterpart problems employing approaches based on vector optimization, set optimization, and nonlinear scalarization was added. Throughout the entire book, there are examples used to illustrate the results and check the stated conditions. This book will be of interest to graduate students and researchers in pure and applied mathematics, economics, and engineering. A sound knowledge of linear algebra and introductory real analysis should provide readers with sufficient background for this book. .
001484787 588__ $$aDescription based on print version record.
001484787 650_0 $$aPartially ordered spaces.
001484787 650_0 $$aMathematical optimization.$$vCongresses$$0(DLC)sh2008107548
001484787 650_0 $$aNonlinear theories.$$vCongresses$$0(DLC)sh2008108386
001484787 655_0 $$aElectronic books.
001484787 7001_ $$aRiahi, Hassan,$$eauthor.
001484787 7001_ $$aTammer, Christiane,$$eauthor.$$1https://isni.org/isni/0000000071038824
001484787 7001_ $$aZalinescu, C.,$$d1952-$$eauthor.$$1https://isni.org/isni/0000000110489055
001484787 77608 $$iPrint version:$$aGöpfert, A. (Alfred).$$tVariational methods in partially ordered spaces.$$bSecond edition.$$dCham : Springer, 2023$$z9783031365331$$w(OCoLC)1393176896
001484787 830_0 $$aCMS/CAIMS books in mathematics ;$$vv. 7.
001484787 852__ $$bebk
001484787 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-36534-8$$zOnline Access$$91397441.1
001484787 909CO $$ooai:library.usi.edu:1484787$$pGLOBAL_SET
001484787 980__ $$aBIB
001484787 980__ $$aEBOOK
001484787 982__ $$aEbook
001484787 983__ $$aOnline
001484787 994__ $$a92$$bISE