Optimality Conditions in Vector Optimization

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 ...
[view complete introduction]

US $
15

*(Excluding Mailing and Handling)



Proper Efficiency And Duality For Differentiable Multiobjective Programming Problems With B-(P,R)-Invex Functions

Pp. 75-96 (22)

DOI: 10.2174/978160805110611001010075

Author(s): Tadeusz Antczak

Abstract

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.

Keywords:

multiobjective programming, properly e cient solution, (strictly) B- (p; r)-invex function with respect to  and b, optimality conditions, duality.