Local maximum points of explicitly quasiconvex functions
Journal article
Bagdasar, Ovidiu and Popovici, Nicolae 2014. Local maximum points of explicitly quasiconvex functions. Optimization Letters. https://doi.org/10.1007/s11590-014-0781-3
Authors | Bagdasar, Ovidiu and Popovici, Nicolae |
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Abstract | This work concerns generalized convex real-valued functions defined on a nonempty convex subset of a real topological linear space. Its aim is twofold: first, to show that any local maximum point of an explicitly quasiconvex function is a global minimum point whenever it belongs to the intrinsic core of the function’s domain and second, to characterize strictly convex normed spaces by applying this property for a particular class of convex functions. |
Keywords | Local maximum point; Relative algebraic interior; Convex function; Explicitly quasiconvex function; Strictly convex space; Least squares problem |
Year | 2014 |
Journal | Optimization Letters |
Publisher | Springer |
ISSN | 1862-4472 |
1862-4480 | |
Digital Object Identifier (DOI) | https://doi.org/10.1007/s11590-014-0781-3 |
Web address (URL) | http://hdl.handle.net/10545/620886 |
hdl:10545/620886 | |
Publication dates | 17 Aug 2014 |
Publication process dates | |
Deposited | 17 Nov 2016, 09:25 |
Rights | Archived with thanks to Optimization Letters |
Contributors | University of Derby |
File | File Access Level Open |
File | File Access Level Open |
File | File Access Level Open |
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https://repository.derby.ac.uk/item/94574/local-maximum-points-of-explicitly-quasiconvex-functions
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