We consider optimization problems in Banach spaces involving a complementarity
constraint, defined by a convex cone K. By transferring the local decomposition approach …

In this paper we consider a mathematical program with second-order cone complementarity
constraints (SOCMPCC). The SOCMPCC generalizes the mathematical program with …

Abstract (EN) In this thesis, we derive necessary optimality conditions for bilevel
programming problems (BPPs for short) in Banach spaces. This rather abstract setting …

We consider mathematical programs with complementarity constraints in Banach spaces. In
particular, we focus on the situation that the complementarity constraint is defined by a non …

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 …

This paper studies stationary points in mathematical programs with cone complementarity
constraints (CMPCC). We begin by reviewing various formulations of CMPCC and revisiting …

In this paper, we propose several new constraint qualifications for mathematical programs
with second-order cone complementarity constraints (SOCMPCC), named SOCMPCC-K …

An optimization model having finite number of variables with infinite number of constraints is
called a semi-infinite optimization problem. Extensive research is being conducted in this …

In this paper, we study an optimal control problem of ordinary differential equations with
linear dynamics, affine mixed control-state constraints, and terminal complementarity …

This paper is concerned with second-order optimality conditions for the mathematical
program with semidefinite cone complementarity constraints. To achieve this goal, we first …