DocumentCode :
1679032
Title :
About extremum problems with constraints in a metric space
Author :
Sadygov, M.
Author_Institution :
Baku State Univ., Baku, Azerbaijan
fYear :
2012
Firstpage :
1
Lastpage :
4
Abstract :
In the work, we define (α,β,ν,δ,ω) -Lipschitz functions at a point in a metric space. We also study a number of their properties and consider extremum problems with constraints. Using distance functions, we obtain a number of theorems concerning the exact penalty. We obtain necessary extremum conditions under some constraints in a Banach space.
Keywords :
Banach spaces; optimisation; (α, β, ν, δ, ω)-Lipschitz functions; Banach space; distance functions; extremum problems; metric space constraints; Banach space; Lipschitz function; extremal problem; metric space;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Problems of Cybernetics and Informatics (PCI), 2012 IV International Conference
Conference_Location :
Baku
Print_ISBN :
978-1-4673-4500-2
Type :
conf
DOI :
10.1109/ICPCI.2012.6486460
Filename :
6486460
Link To Document :
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