The gap function for optimization problems in Banach spaces

In this paper some properties of the gap function for multiple-objective optimization problems in Banach spaces are established.

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Bibliographic Details
Published in:Nonlinear analysis Vol. 69; no. 2; pp. 716 - 723
Main Author: Soleimani-damaneh, M.
Format: Journal Article
Language:English
Published: Amsterdam Elsevier Ltd 15.07.2008
Elsevier
Subjects:
Calculus of variations and optimal control
Clarke’s gradient
Exact sciences and technology
Functional analysis
Gap function
Global analysis, analysis on manifolds
Mathematical analysis
Mathematics
Multiple-objective optimization
Numerical analysis
Numerical analysis. Scientific computation
Numerical methods in mathematical programming, optimization and calculus of variations
Numerical methods in optimization and calculus of variations
Preinvexity
Sciences and techniques of general use
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Variational inequality
Gap function
Clarke’s gradient
Multiple-objective optimization
Variational inequality
Preinvexity
Gap problem
Nonlinear analysis
Optimization method
Clarke's gradient
Banach space
Mathematical model
ISSN:0362-546X, 1873-5215
Online Access:Get full text
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Description
Summary:In this paper some properties of the gap function for multiple-objective optimization problems in Banach spaces are established.
Bibliography:ObjectType-Article-2
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content type line 23
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2007.06.008