- Title
- Characterizations of minimal elements of topical functions on semimodules with applications
- Creator
- Hassani, Sara; Mohebi, Hossein
- Date
- 2017
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/159234
- Identifier
- vital:11950
- Identifier
-
https://doi.org/10.1016/j.laa.2017.01.014
- Identifier
- ISSN:0024-3795
- Abstract
- In this paper, we first give characterizations of the superdifferential of extended valued topical functions defined on a semimodule with values in a semifield. Next, we characterize minimal elements of the upper support set of extended valued topical functions. Finally, as an application, we present a necessary and sufficient condition for global maximum of the difference of two strictly topical functions defined on a semimodule. (C) 2017 Elsevier Inc. All rights reserved.
- Publisher
- Elsevier Ltd
- Relation
- Linear Algebra and Its Applications Vol. 520, no. (2017), p. 104-124
- Rights
- Copyright © 2017 Elsevier Inc. All rights reserved.
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- 01 Mathematical Sciences; 08 Information and Computing Sciences; 09 Engineering; Semifield; Semimodule; Minimal element; Topical function; Support set; b-Complete; Superdifferential; DC-functions; Global optimization
- Full Text
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