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• W1995125667 abstract "We investigate a nonsmooth vector optimization problem with a feasible set defined by a generalized inequality constraint, an equality constraint and a set constraint. Both necessary and sufficient optimality conditions of first and second-order for weak solutions and firm solutions are established in terms of Fritz-John–Lagrange multiplier rules using set-valued directional derivatives and tangent cones and second-order tangent sets. We impose steadiness and strict differentiability for first and second-order necessary conditions, respectively; stability and l-stability for first and second-order sufficient conditions, respectively. The obtained results improve or include some recent known ones. Several illustrative examples are also provided." @default.
• W1995125667 created "2016-06-24" @default.
• W1995125667 creator A5060862893 @default.
• W1995125667 date "2015-01-01" @default.
• W1995125667 modified "2023-09-24" @default.
• W1995125667 title "First and second-order optimality conditions for nonsmooth vector optimization using set-valued directional derivatives" @default.
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• W1995125667 doi "https://doi.org/10.1016/j.amc.2014.11.061" @default.
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