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In this paper, a vector optimization problem over cones is considered, where the functions involved are η-semidifferentiable. Necessary and sufficient optimality conditions are obtained. A dual is formulated and duality results are proved using the concepts of cone ρ-semilocally preinvex, cone ρ-semilocally quasi-preinvex and cone ρ-semilocally pseudo-preinvex functions. AMS Mathematics Subject Classification : 47L07, 34H05.

VECTOR OPTIMIZATION INVOLVING GENERALIZED SEMILOCALLY PRE-INVEX FUNCTIONS