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eISBN: 978-1-60805-110-6, 2010 ISBN: 978-1-60805-368-1
Indexed in: Scopus, EBSCO
Vector optimization is continuously needed in several science fields, particularly in economy, business, engineering, physics and mathematics. The evolution of these fields depends, in part, on the improvements in vector optimization in mathematical programming. The aim of this Ebook is to present the latest developments in vector optimization. The contributions have been written by some of the most eminent researchers in this field of mathematical programming. The Ebook is considered essential for researchers and students in this field.
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Pp. 119-142 (24)
Riccardo Cambini and Laura Carosi Department of Statistics and Applied Mathematics, Faculty of Economics, University of Pisa, Via Cosimo Ridolfi 10, 56124 Pisa (Itlay).
The aim of this chapter is to propose some pairs of dual programs where the pri-
mal is a vector problem having a feasible region defined by a set constraint, equality
and inequality constraints, while the duals can be classified as \mixed type" ones.
The duality results are proved under suitable generalized concavity properties. In this
light, the role of dierent kinds of generalized concavity properties will be deepened on.
Vector Optimization, Duality, Maximum Principle Conditions, Generalized
Convexity, Set Constraints.