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Second-order optimality conditions for non-convex set-constrained optimization problems
Helmut Gfrerer, Jane Ye, Jinchuan Zhou
In this paper we study second-order optimality conditions for non-convex set-constrained optimization problems. For a convex set-constrained optimization problem, it is well-known…
Exact formula for the second-order tangent set of the second-order cone complementarity set
Jein-Shan Chen, Jane J. Ye, Jin Zhang +1
The second-order tangent set is an important concept in describing the curvature of the set involved. Due to the existence of the complementarity condition, the second-order cone (…
Verifiable sufficient conditions for the error bound property of second-order cone complementarity problems
Jane Ye, Jinchuan Zhou
The error bound property for a solution set defined by a set-valued mapping refers to an inequality that bounds the distance between vectors closed to a solution of the given set b…
Exact formulas for the proximal/regular/limiting normal cone of the second-order cone complementarity set
Jane J. Ye, Jinchuan Zhou
The proximal, regular and limiting normal cones to the second-order cone complementarity set play important roles in studying mathematical programs with second-order cone complemen…