Tangential extremal principles for finite and infinite systems of sets II: applications to semi-infinite and multiobjective optimization

This paper contains selected applications of the new tangential extremal principles and related results developed in Mordukhovich and Phan (Math Program 2011 ) to calculus rules for infinite intersections of sets and optimality conditions for problems of semi-infinite programming and multiobjective...

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Bibliographic Details
Published in:Mathematical programming Vol. 136; no. 1; pp. 31 - 63
Main Authors: Mordukhovich, Boris S., Phan, Hung M.
Format: Journal Article Conference Proceeding
Language:English
Published: Berlin/Heidelberg Springer-Verlag 01.12.2012
Springer
Springer Nature B.V
Subjects:
Applied sciences
Calculus
Calculus of variations and optimal control
Calculus of Variations and Optimal Control; Optimization
Combinatorics
Convex analysis
Decision theory. Utility theory
Exact sciences and technology
Full Length Paper
Intersections
Mathematical analysis
Mathematical and Computational Physics
Mathematical functions
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
Principles
Programming
Sciences and techniques of general use
Studies
Theoretical
Variational analysis
Semi-infinite programming
49J53
Multiobjective optimization
Qualification conditions
Extremal principles
Tangent and normal cones
Secondary 90C30
Generalized differentiation
Primary 49J52
Intersection
Cone
Existence theorem
Multiobjective programming
Semi infinite programming
Non linear programming
49J53; Secondary 90C30
Infinite system
Constrained optimization
Extremum problem
Qualification
Nonsmooth analysis
Variational calculus
Optimality condition
Optimality criterion
Mathematical programming
ISSN:0025-5610, 1436-4646
Online Access:Get full text
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Summary:This paper contains selected applications of the new tangential extremal principles and related results developed in Mordukhovich and Phan (Math Program 2011 ) to calculus rules for infinite intersections of sets and optimality conditions for problems of semi-infinite programming and multiobjective optimization with countable constraints.
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ISSN:0025-5610
1436-4646
DOI:10.1007/s10107-012-0550-y