Background
Luc, Dinh The was born on May 28, 1952 in Ninh Binh, Vietnam. Son of Dinh The Phan and Vu Thi Tieu.
(These notes grew out of a series of lectures given by the...)
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.
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Luc, Dinh The was born on May 28, 1952 in Ninh Binh, Vietnam. Son of Dinh The Phan and Vu Thi Tieu.
Master of Science, Moscow State University, 1974. Doctor of Philosophy, Hungarian Academy of Sciences, Budapest, Hungary, 1983. Doctor of Science, Institute of Mathematics, Hanoi, Vietnam, 1991.
Research fellow Institute of Mathematics, Hanoi, since 1974, deputy director, 1995-1999. Senior researcher Computer and Automation Institute, Budapest, 1984-1986. Professor University Avignon, France, 1993-1995, 99—, director department mathematics France, since 1999.
Visiting professor Centro de Investigation Estudios Avanzados del Instituto Politecnico Nacional, Mexico-City, 1988-1989, University Autonoma de Barcelona, Spain, 1992-1993.
(These notes grew out of a series of lectures given by the...)
Member Working Group on Generalized Convexity (international scientific committee since 1996), Hanoi Mathematics Society (vice president since 1996).
Married La Dieu Huyen. Children: Dinh Liuli, Dinh The Duc.