Optimality Conditions in Vector Optimization

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

Author(s): Tadeusz Antczak

Pp: 75-96 (22)

DOI: 10.2174/978160805110611001010075

* (Excluding Mailing and Handling)

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.

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