Chapter 6

Proper efficiency and duality for differentiable multiobjective programming problems with B-(p,r)-invex functions

Tadeusz Antczak

Abstract

In this paper, the concept of proper e ciency has been incorporated to develop the optimality conditions and duality results for dierentiable nonconvex multiobjective programming problems. The assumptions on properly e ciency 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.

Total Pages: 75-96 (22)

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