{"product_id":"9783031365331","title":"CMS\/CAIMS Books in Mathematics","description":"\u003ch1\u003eCMS\/CAIMS Books in Mathematics\u003c\/h1\u003e \u003ch2\u003eGöpfert, Alfred; Riahi, Hassan; Tammer, Christiane; Zǎlinescu, Constantin\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eIn 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.\u003c\/p\u003e\n\n\u003cp\u003e \u003c\/p\u003e\n\n\u003cp\u003eThis 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.\u003c\/p\u003e\n\n \u003cp\u003e\u003c\/p\u003e\n\n\u003cp\u003eThe 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.\u003c\/p\u003e\n\n\u003cp\u003e \u003c\/p\u003e\n\n\u003cp\u003eImportant 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.\u003c\/p\u003e\n\n\u003cp\u003e \u003c\/p\u003e\n\n\u003cp\u003eIn 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.\u003c\/p\u003e\n\n\u003cp\u003e \u003c\/p\u003e\n\n\u003cp\u003eThroughout the entire book, there are examples used to illustrate the results and check the stated conditions.\u003c\/p\u003e\n\n\u003cp\u003e \u003c\/p\u003e\n\n\u003cp\u003eThis 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. \u003c\/p\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2023-12-08\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783031365331\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-031-36534-8\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 553\u003c\/p\u003e ","brand":"Springer","offers":[{"title":"Default Title","offer_id":44522963140748,"sku":"9783031365331","price":89.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783031365331.jpg?v=1776046918","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783031365331","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}