Add to ORKGWe propose in this paper a systematic study which is a variational approach of approximate optimality conditions in terms of Ekeland’s variational principle and some of its applications. Using a generalised differentiation(sub-differentiability) theory for non-smooth functions, new properties are then identified and approximate optimality conditions are established in the cases: convex, locally Lipschitz and finally lower semi-continuous.Publisher's Versio
This paper concerns applications of advanced techniques of variational analysis and generalized diff...
This paper studies a scalar minimization problem with an integral functional of the gradient under a...
Aris Daniilidis†, Florence Jules ‡ and Marc Lassonde§ Dedicated to Professor A. Auslender for the oc...
This book aims to give an introduction to generalized derivative concepts useful in deriving necessa...
The results of the thesis are concerned with optimality conditions in vector optimization and the un...
by Chow Wai Chuen.Thesis (M.Ph.)--Chinese University of Hong Kong, 1987.Bibliography: leaves 66-67
Approximate necessary optimality conditions in terms of Frechet subgradients and normals for a rathe...
We show that, typically, lower semicontinuous functions on a Banach space densely inherit lower subd...
AbstractThe Kuhn–Tucker type necessary optimality conditions are given for the problem of minimizing...
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 ...
AbstractWe consider variational problems of the formmin∫Ω[f(Δu(x))+g(x,u(x))]dx:u∈u0+H10(Ω),wheref: ...
We first study the minimizers, in the class of convex functions, of an elliptic functional with nonh...
AbstractIt is shown that a locally Lipschitz function is approximately convex if, and only if, its C...
AbstractLetfbe a lower semi-continuous and bounded below function from a Banach spaceXinto (−∞,+∞] w...
This paper concerns applications of advanced techniques of variational analysis and generalized diff...
This paper studies a scalar minimization problem with an integral functional of the gradient under a...
Aris Daniilidis†, Florence Jules ‡ and Marc Lassonde§ Dedicated to Professor A. Auslender for the oc...
This book aims to give an introduction to generalized derivative concepts useful in deriving necessa...
The results of the thesis are concerned with optimality conditions in vector optimization and the un...
by Chow Wai Chuen.Thesis (M.Ph.)--Chinese University of Hong Kong, 1987.Bibliography: leaves 66-67
Approximate necessary optimality conditions in terms of Frechet subgradients and normals for a rathe...
We show that, typically, lower semicontinuous functions on a Banach space densely inherit lower subd...
AbstractThe Kuhn–Tucker type necessary optimality conditions are given for the problem of minimizing...
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 ...
AbstractWe consider variational problems of the formmin∫Ω[f(Δu(x))+g(x,u(x))]dx:u∈u0+H10(Ω),wheref: ...
We first study the minimizers, in the class of convex functions, of an elliptic functional with nonh...
AbstractIt is shown that a locally Lipschitz function is approximately convex if, and only if, its C...
AbstractLetfbe a lower semi-continuous and bounded below function from a Banach spaceXinto (−∞,+∞] w...
This paper concerns applications of advanced techniques of variational analysis and generalized diff...
This paper studies a scalar minimization problem with an integral functional of the gradient under a...
Aris Daniilidis†, Florence Jules ‡ and Marc Lassonde§ Dedicated to Professor A. Auslender for the oc...