VECTOR OPTIMIZATION INVOLVING GENERALIZED SEMILOCALLY PRE-INVEX FUNCTIONS

Title & Authors
VECTOR OPTIMIZATION INVOLVING GENERALIZED SEMILOCALLY PRE-INVEX FUNCTIONS
GUPTA, SUDHA; SHARMA, VANI; CHAUDHARY, MAMTA;

Abstract
In this paper, a vector optimization problem over cones is considered, where the functions involved are $\small{\eta}$-semidifferentiable. Necessary and sufficient optimality conditions are obtained. A dual is formulated and duality results are proved using the concepts of cone $\small{\rho}$-semilocally preinvex, cone $\small{\rho}$-semilocally quasi-preinvex and cone $\small{\rho}$-semilocally pseudo-preinvex functions.
Keywords
Vector optimization;cones$\small{\rho}$;-semilocally preinvex;cone $\small{\rho}$-semilocally quasi-preinvex;cone $\small{\rho}$-semilocally pseudo-preinvex;optimality;duality;
Language
English
Cited by
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