[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14317/jami.2015.235

VECTOR OPTIMIZATION INVOLVING GENERALIZED SEMILOCALLY PRE-INVEX FUNCTIONS

GUPTA, SUDHA (Department of Mathematics, Laxmibai College (University of Delhi))
SHARMA, VANI (Department of Mathematics, Laxmibai College (University of Delhi))
CHAUDHARY, MAMTA (Department of Mathematics, Laxmibai College (University of Delhi))

Publication Information

Journal of applied mathematics & informatics / v.33, no.3_4, 2015 , pp. 235-246 More about this Journal

Abstract

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.

Keywords

Vector optimization; cones $\rho$ ; -semilocally preinvex; cone $\rho$ -semilocally quasi-preinvex; cone $\rho$ -semilocally pseudo-preinvex; optimality; duality;

Citations & Related Records

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