Add to ORKGIn this paper directionally contextual concepts of variational analysis, based on dual-space constructions similar to those in [4, 5], are introduced and studied. As an illustration of their usefulness, necessary and also sufficient optimality conditions in terms of directioual subdifferentials are established, and it is shown that they can be effective in the situations where known optimality conditions in terms of nondirectional subdifferentials fail
AbstractThe formula of Clarke's subdifferential for the sum of two real-valued locally Lipschitz fun...
We show that the directed subdifferential introduced for differences of convex (delta-convex, DC) fu...
AbstractIn this paper, new classes of nondifferentiable functions constituting multiobjective progra...
This paper is devoted to the introduction and development of new dual-space constructions of general...
The paper is devoted to the development of a comprehensive calculus for directional limiting normal ...
In this paper the relation between the weak subdifferentials and the directional derivatives, as wel...
The paper concerns first-order necessary optimality conditions for problems of minimizing nonsmooth ...
In this paper we study optimality conditions for optimization problems described by a special class ...
The directional subdifferential of the value function gives an estimate on how much the optimal valu...
We develop various (exact) calculus rules for Frechet lower and upper subgradients of extended-realv...
The paper concerns the second-order generalized differentiation theory of variational analysis and n...
From its origins in the minimization of integral functionals, the notion of 'variations' has evolved...
A vector subdifferential is defined for a class of directionally differentiable mappings between ord...
Following the Rockafellar's definition for the subdifferential of a real map we define a vector subd...
The paper is devoted to the study of a new notion of linear suboptimality in constrained mathematica...
AbstractThe formula of Clarke's subdifferential for the sum of two real-valued locally Lipschitz fun...
We show that the directed subdifferential introduced for differences of convex (delta-convex, DC) fu...
AbstractIn this paper, new classes of nondifferentiable functions constituting multiobjective progra...
This paper is devoted to the introduction and development of new dual-space constructions of general...
The paper is devoted to the development of a comprehensive calculus for directional limiting normal ...
In this paper the relation between the weak subdifferentials and the directional derivatives, as wel...
The paper concerns first-order necessary optimality conditions for problems of minimizing nonsmooth ...
In this paper we study optimality conditions for optimization problems described by a special class ...
The directional subdifferential of the value function gives an estimate on how much the optimal valu...
We develop various (exact) calculus rules for Frechet lower and upper subgradients of extended-realv...
The paper concerns the second-order generalized differentiation theory of variational analysis and n...
From its origins in the minimization of integral functionals, the notion of 'variations' has evolved...
A vector subdifferential is defined for a class of directionally differentiable mappings between ord...
Following the Rockafellar's definition for the subdifferential of a real map we define a vector subd...
The paper is devoted to the study of a new notion of linear suboptimality in constrained mathematica...
AbstractThe formula of Clarke's subdifferential for the sum of two real-valued locally Lipschitz fun...
We show that the directed subdifferential introduced for differences of convex (delta-convex, DC) fu...
AbstractIn this paper, new classes of nondifferentiable functions constituting multiobjective progra...