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VECTOR OPTIMIZATION INVOLVING GENERALIZED SEMILOCALLY PRE-INVEX FUNCTIONS
VECTOR OPTIMIZATION INVOLVING GENERALIZED SEMILOCALLY PRE-INVEX FUNCTIONS
Journal of applied mathematics & informatics. 2015. May, 33(3_4): 235-246
  • Received : June 22, 2014
  • Published : May 30, 2015
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GUPTA SUDHA
SHARMA VANI
CHAUDHARY MAMTA

Abstract
In this paper, a vector optimization problem over cones is considered, where the functions involved are <TEX>$\eta$</TEX>-semidifferentiable. Necessary and sufficient optimality conditions are obtained. A dual is formulated and duality results are proved using the concepts of cone <TEX>$\rho$</TEX>-semilocally preinvex, cone <TEX>$\rho$</TEX>-semilocally quasi-preinvex and cone <TEX>$\rho$</TEX>-semilocally pseudo-preinvex functions.
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