Relative Pareto minimizers for multiobjective problems: existence and optimality conditions

In this paper we introduce and study enhanced notions of relative Pareto minimizers for constrained multiobjective problems that are defined via several kinds of relative interiors of ordering cones and occupy intermediate positions between the classical notions of Pareto and weak Pareto efficiency/...

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Bibliographic Details
Published in:	Mathematical programming Vol. 122; no. 2; pp. 301 - 347
Main Authors:	Bao, Truong Q., Mordukhovich, Boris S.
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer-Verlag 01.04.2010 Springer Springer Nature B.V
Subjects:	Applied sciences Banach spaces Calculus of variations and optimal control Calculus of Variations and Optimal Control; Optimization Combinatorics Decision theory. Utility theory Exact sciences and technology Full Length Paper Hierarchies Mathematical analysis Mathematical and Computational Physics Mathematical Methods in Physics Mathematical programming Mathematics Mathematics and Statistics Mathematics of Computing Numerical Analysis Operational research and scientific management Operational research. Management science Optimization Optimization techniques Pareto optimum Sciences and techniques of general use Studies Theoretical Variational analysis Necessary optimality conditions 49J53 Existence theorems 49J52 Multiobjective optimization Variational and extremal principles Relative Pareto minimizers 90C29 Generalized differentiation Multivalued function Subdifferential Multiobjective programming Partial ordering Convex programming Ordered space Extremum problem Nonsmooth analysis Variational calculus Infinite dimension Vector optimization Mathematical programming Existence condition Existence theorem Pareto optimum Variational principle Optimality condition Optimality criterion
ISSN:	0025-5610, 1436-4646
Online Access:	Get full text
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