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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. 75-96 (22)
Faculty of Mathematics and Computer Science, University of Lodz, Banacha 22, 90-238 Lodz, Poland., Poland
In this paper, the concept of proper eciency has been incorporated to develop the
optimality conditions and duality results for dierentiable nonconvex multiobjective
programming problems. The assumptions on properly eciency are relaxed by means
of the introduced classes of vector-valued B-(p; r)-invex functions. These results ex-
tend several known results to a wider class of nonconvex vector optimization problems.
multiobjective programming, properly ecient solution, (strictly) B-
(p; r)-invex function with respect to and b, optimality conditions, duality.