VECTOR OPTIMIZATION INVOLVING GENERALIZED SEMILOCALLY PRE-INVEX FUNCTIONS
Sudha Gupta, Vani Sharma, Mamta Chaudhary · Journal of applied mathematics & informatics · 2015
In this paper, a vector optimization problem over cones is considered, where the functions involved are $\eta$ -semidifferentiable. Necessary and sufficient optimality conditions are obtained. A dual is formulated and duality results are proved using the concepts of cone $\rho$ -semilocally preinvex, cone $\rho$ -semilocally quasi-preinvex and cone $\rho$ -semilocally pseudo-preinvex functions.