Set-valued optimization is a vibrant and expanding branch of applied mathematics that
deals with optimization problems where the objective map and/or the constraint maps are …

In this paper we discuss second order optimality conditions in optimization problems subject
to abstract constraints. Our analysis is based on various concepts of second order tangent …

Using a projective approach, new necessary conditions and new sufficient conditions for
optimization problems with explicit or implicit constraints are examined. They are compared …

For optimal control problems with set-valued control constraints and pure state constraints
we propose new second-order necessary optimality conditions. In addition to the usual …

This paper presents primal and dual second-order Fritz John necessary conditions for weak
efficiency of nonsmooth vector equilibrium problems involving inequality, equality and set …

We compare some recent proposals dealing with necessary conditions and sufficient
conditions for optimization problems with explicit or implicit constraints. We add a new …

This paper discusses a class of state constrained optimal control problems, for which it is
possible to formulate second-order necessary or sufficient conditions for local optimality or …

In this paper, we give necessary conditions for the existence of a strict local minimum of
order two for multiobjective optimization problems with equality and inequality constraints …

In this paper we derive generalized necessary conditions for optimality for an optimization
problem with equality and inequality constraints in a Banach space. The equality constraints …

Second-Order Necessary Optimality Conditions for a Class of Semilinear Elliptic Optimal Control
Problems with Mixed Pointwise Co Page 1 Copyright © by SIAM. Unauthorized reproduction of …