Add to ORKGFor the normed spaces X, Y with preset mapping F: X→Y and function fI: X→R (i=1,2,...k, k is given; R - the space of real numbers) the minimization problem is considered with constraints: f0(x)→MIN, F(x)=0, fj(x)≤0. Under the certain assumptions on smoothness in terms of Lagrangian formalism the second order sufficient conditions for the local minimum are obtained without a priori assumptions of finite-dimensionality and even fullness for spaces X and Y
Standard second order sufficient conditions in optimal control theory provide not only the informati...
A particular theorem for linear separation between two sets is applied in the image space associated...
We present a perturbation theory for finite dimensional optimization problems subject to abstract co...
For the normed spaces X, Y with preset mapping F: X→Y and function fI: X→R (i=1,2,...k, k is given; ...
In a linear space X, the following extremal problem is considered: f(x)tomin,; F_1(x)le 0,; F_2(x)=0...
The paper deals with the minimization problem of a marginal function over a subset C of a space X. U...
In this paper we study a minimization problem with constraints and obtain first- and second-order ne...
For minimization problems with equality and inequality constraints, first-and second-order necessary...
The author studies finite-dimensional minima of an optimal control problem. An admissible process (x...
In the linear space X with a given subset C⊂X set are the mappings F1: X→Rk 1, F2: X→Rk 2 and a func...
The aim of this paper is to derive second-order necessary conditions for an abnormal local minimizer...
The necessary conditions for local extremum in 2-regular problems are studied. The necessary conditi...
AbstractIn this paper, we establish second order optimality conditions for the problem of minimizing...
AbstractWe state a certain second-order sufficient optimality condition for functions defined in inf...
In this paper we study the minimization problem with constraints. The first- and second-order necess...
Standard second order sufficient conditions in optimal control theory provide not only the informati...
A particular theorem for linear separation between two sets is applied in the image space associated...
We present a perturbation theory for finite dimensional optimization problems subject to abstract co...
For the normed spaces X, Y with preset mapping F: X→Y and function fI: X→R (i=1,2,...k, k is given; ...
In a linear space X, the following extremal problem is considered: f(x)tomin,; F_1(x)le 0,; F_2(x)=0...
The paper deals with the minimization problem of a marginal function over a subset C of a space X. U...
In this paper we study a minimization problem with constraints and obtain first- and second-order ne...
For minimization problems with equality and inequality constraints, first-and second-order necessary...
The author studies finite-dimensional minima of an optimal control problem. An admissible process (x...
In the linear space X with a given subset C⊂X set are the mappings F1: X→Rk 1, F2: X→Rk 2 and a func...
The aim of this paper is to derive second-order necessary conditions for an abnormal local minimizer...
The necessary conditions for local extremum in 2-regular problems are studied. The necessary conditi...
AbstractIn this paper, we establish second order optimality conditions for the problem of minimizing...
AbstractWe state a certain second-order sufficient optimality condition for functions defined in inf...
In this paper we study the minimization problem with constraints. The first- and second-order necess...
Standard second order sufficient conditions in optimal control theory provide not only the informati...
A particular theorem for linear separation between two sets is applied in the image space associated...
We present a perturbation theory for finite dimensional optimization problems subject to abstract co...