An Analysis of Some Dual Problems for (0, Q) Invexity-Type Nonlinear Programming Problems

Abstract

In this paper, mathematical programming problems involving (0, Q)-invex functions with respect to η are considered. Lagrange, Fenchel and Fenchel-Lagrange dual optimization problems are derived by means of distinct perturbations of the primal problem and studied. For the various dual problems, equality and inequality relations between the optimal values are verified under appropriate assumptions.