summary:Two conditions are given each of which is both necessary and sufficient for a point to be a global Pareto minimum. The first one is obtained by studying programs where each criterion appears as a single objective function, while the second one is given in terms of a "restricted Lagrangian". The conditions are compared with the familiar characterizations of properly efficient and weakly efficient points of Karlin and Geoffrion
Multicriteria optimization problems have been introduced and studied in various ways. In this work, ...
AbstractIn this paper the notion of potential optimality without an assumption that a value function...
AbstractWe consider the problem of minimizing a function over a region defined by an arbitrary set, ...
summary:Two conditions are given each of which is both necessary and sufficient for a point to be a ...
In this paper we address the question of how many objective functions are needed to decide whether a...
In this paper we address the question of how many objective functions are needed to decide whether a...
This thesis contains several contributions to the theory of optimality conditions in single- and mul...
Abstract. Sufficient conditions are given for the global Pareto solution of the multicriterial optim...
Sufficient conditions are given for the global Pareto solution of the multicriterial optimization pr...
AbstractIn this note, the set of weak Pareto solutions of a multicriteria linear programming problem...
In this paper, new necessary conditions for Pareto minimal points to sets and Pareto minimizers for ...
In this paper we derive necessary and sufficient conditions for some problems of global minimization...
We establish new necessary and sufficient optimality conditions for global optimization problems. In...
This book presents state-of-the-art results and methodologies in modern global optimization, and has...
In this paper we derive new sufficient conditions for global weak Pareto solutions to set-valued opt...
Multicriteria optimization problems have been introduced and studied in various ways. In this work, ...
AbstractIn this paper the notion of potential optimality without an assumption that a value function...
AbstractWe consider the problem of minimizing a function over a region defined by an arbitrary set, ...
summary:Two conditions are given each of which is both necessary and sufficient for a point to be a ...
In this paper we address the question of how many objective functions are needed to decide whether a...
In this paper we address the question of how many objective functions are needed to decide whether a...
This thesis contains several contributions to the theory of optimality conditions in single- and mul...
Abstract. Sufficient conditions are given for the global Pareto solution of the multicriterial optim...
Sufficient conditions are given for the global Pareto solution of the multicriterial optimization pr...
AbstractIn this note, the set of weak Pareto solutions of a multicriteria linear programming problem...
In this paper, new necessary conditions for Pareto minimal points to sets and Pareto minimizers for ...
In this paper we derive necessary and sufficient conditions for some problems of global minimization...
We establish new necessary and sufficient optimality conditions for global optimization problems. In...
This book presents state-of-the-art results and methodologies in modern global optimization, and has...
In this paper we derive new sufficient conditions for global weak Pareto solutions to set-valued opt...
Multicriteria optimization problems have been introduced and studied in various ways. In this work, ...
AbstractIn this paper the notion of potential optimality without an assumption that a value function...
AbstractWe consider the problem of minimizing a function over a region defined by an arbitrary set, ...