2 citations · 5 across the 10 of their papers we have counts for
6 papers · 1 filter
Second-order optimality conditions for optimization problems with generalized equation constraints
M. Benko, H. Gfrerer, J. J. Ye +2
This paper provides second-order optimality conditions for optimization problems with generalized equation constraints (GEPs), a framework that encompasses several important and ch…
Second-order optimality conditions for general nonconvex optimization problems and variational analysis of disjunctive systems
Matus Benko, Helmut Gfrerer, Jane Ye +2
In this paper, we propose second-order sufficient optimality conditions for a very general nonconvex constrained optimization problem, which covers many prominent mathematical prog…
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…