In this paper the author studies the necessary conditions for an extremum when either the function to be optimized or the function describing the set on which optimization must be carried out is nondifferentiable. The author's main concern is with quasidifferentiable functions but smooth and convex cases are also discussed
A set-constrained optimization problem and a mathematical programming problem are considered. We ass...
We consider here the problem of minimizing a particular subclass of quasidifferentiable functions: t...
Two criteria for the robust quasiconvexity of lower semicontinuous functions are established in term...
This paper presents a survey of results related to quasidifferential calculus. First we discuss diff...
In a recent paper, V.F. Demyanov, S. Gamidov and I. Sivelina developed an algorithm for solving opti...
This paper considers the problem of minimizing a quasidifferentiable function on a set described by ...
Much recent work in optimization theory has been concerned with the problems caused by nondifferenti...
For the minimization of nonsmooth quasidifferentiable functions methods have been defined which make...
This book aims to give an introduction to generalized derivative concepts useful in deriving necessa...
textabstractReasonable descent is a novel, transparent approach to a well-established field: the dee...
2000 Mathematics Subject Classification: 90C46, 90C26, 26B25, 49J52.The constrained optimization pro...
We extend the definition of the directed subdifferential, originally introduced in [R. Baier, E. Far...
Some results concerning second order expansions for quasidifferentiable functions in the sense of De...
The paper concerns first-order necessary optimality conditions for problems of minimizing nonsmooth ...
AbstractWe establish necessary and sufficient optimality conditions for quasi-convex programming. Fi...
A set-constrained optimization problem and a mathematical programming problem are considered. We ass...
We consider here the problem of minimizing a particular subclass of quasidifferentiable functions: t...
Two criteria for the robust quasiconvexity of lower semicontinuous functions are established in term...
This paper presents a survey of results related to quasidifferential calculus. First we discuss diff...
In a recent paper, V.F. Demyanov, S. Gamidov and I. Sivelina developed an algorithm for solving opti...
This paper considers the problem of minimizing a quasidifferentiable function on a set described by ...
Much recent work in optimization theory has been concerned with the problems caused by nondifferenti...
For the minimization of nonsmooth quasidifferentiable functions methods have been defined which make...
This book aims to give an introduction to generalized derivative concepts useful in deriving necessa...
textabstractReasonable descent is a novel, transparent approach to a well-established field: the dee...
2000 Mathematics Subject Classification: 90C46, 90C26, 26B25, 49J52.The constrained optimization pro...
We extend the definition of the directed subdifferential, originally introduced in [R. Baier, E. Far...
Some results concerning second order expansions for quasidifferentiable functions in the sense of De...
The paper concerns first-order necessary optimality conditions for problems of minimizing nonsmooth ...
AbstractWe establish necessary and sufficient optimality conditions for quasi-convex programming. Fi...
A set-constrained optimization problem and a mathematical programming problem are considered. We ass...
We consider here the problem of minimizing a particular subclass of quasidifferentiable functions: t...
Two criteria for the robust quasiconvexity of lower semicontinuous functions are established in term...