{"product_id":"theory-of-vector-optimization-dinh-the-luc-9783540505419","title":"Theory of Vector Optimization","description":"These notes grew out of a series of lectures given by the author at the Univer- sity of Budapest during 1985-1986. Additional results have been included which were obtained while the author was at the University of Erlangen-Niirnberg under a grant of the Alexander von Humboldt Foundation. Vector optimization has two main sources coming from economic equilibrium and welfare theories of Edgeworth (1881) and Pareto (1906) and from mathemat- ical backgrounds of ordered spaces of Cantor (1897) and Hausdorff (1906). Later, game theory of Borel (1921) and von Neumann (1926) and production theory of Koopmans (1951) have also contributed to this area. However, only in the fifties, after the publication of Kuhn-Tucker's paper (1951) on the necessary and sufficient conditions for efficiency, and of Deubreu's paper (1954) on valuation equilibrium and Pareto optimum, has vector optimization been recognized as a mathematical discipline. The stretching development of this field began later in the seventies and eighties. Today there are a number of books on vector optimization. Most of them are concerned with the methodology and the applications. Few of them offer a systematic study of the theoretical aspects. The aim of these notes is to pro- vide a unified background of vector optimization, with the emphasis on nonconvex problems in infinite dimensional spaces ordered by convex cones. The notes are arranged into six chapters. The first chapter presents prelim- inary material.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Dinh The Luc\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3540505415\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783540505419\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 12\/07\/1988\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 176\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.74lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 10.00h x 7.00w x 0.40d","brand":"Dinh The Luc","offers":[{"title":"Paperback","offer_id":47930934395135,"sku":"9783540505419","price":109.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_22f704da-578d-403f-af07-6bbecd901028.jpg?v=1766345302","url":"https:\/\/www.whiterainbookhouse.com\/products\/theory-of-vector-optimization-dinh-the-luc-9783540505419","provider":"WR Book House","version":"1.0","type":"link"}