1 citations · 4 across the 7 of their papers we have counts for
11 papers
All unconstrained strongly convex problems are weakly simplicial
Yusuke Mizota, Naoki Hamada, Shunsuke Ichiki
A multi-objective optimization problem is weakly simplicial if there exists a surjection from a simplex onto the Pareto set/front such that the image of each subsimplex…
Simpliciality of strongly convex problems
Naoki Hamada, Shunsuke Ichiki
A multiobjective optimization problem is simplicial if the Pareto set and the Pareto front are diffeomorphic to a simplex and, under the diffeomorphisms, each fac…
Characterization of the equality of weak efficiency and efficiency on convex free disposal hulls
Naoki Hamada, Shunsuke Ichiki
In solving a multi-objective optimization problem by scalarization techniques, solutions to a scalarized problem are, in general, weakly efficient rather than efficient to the orig…
Topology of Pareto sets of strongly convex problems
Naoki Hamada, Kenta Hayano, Shunsuke Ichiki +2
A multiobjective optimization problem is simplicial if the Pareto set and front are homeomorphic to a simplex and, under the homeomorphisms, each face of the simplex corresponds to…
Transversality theorems on generic linearly perturbed mappings
Shunsuke Ichiki
In his celebrated paper "Generic projections", John Mather has given a striking transversality theorem and its applications on generic projections. On the other hand, in this paper…
Characterization of generic transversality
Shunsuke Ichiki
In this paper, the notion of generic transversality and its characterization are given. The characterization is also a further improvement of the basic transversality result and it…