Optimality and Duality for A Class of Non-Smooth Generalized B-vex Programming
Chengke Zhang · Or Transactions · 1999
By using Clarke's generalized directional derivative, the class of Bvext B-invex, pseudo B-invex, and quasi B-invex functions for differentiable functions isextended to the class of generalized B-vex, (ρ, B, η) -invex, pseudo (B, η)-invex, and quasi(B, η)-invex functions for locally Lipschitz functions. The sufficient optimality conditionsand duality results are obtained for nonlinear programming and generalized fractionalprogramming, problem involving those functions.