Vector optimization with cone semilocally preinvex functions
Surjeet Kaur Suneja, Meetu Bhatia · An International Journal of Optimization and Control Theories & Applications (IJOCTA) · 2013
In this paper we introduce cone semilocally preinvex, cone semilocally quasi preinvex and cone semilocally pseudo preinvex functions and study their properties. These functions are further used to establish necessary and sufficient optimality conditions for a vector minimization problem over cones. A Mond-Weir type dual is formulated for the vector optimization problem and various duality theorems are proved.