A necessary and sufficient criterion for the existence of the global minima of a continuous lower bounded function on a noncompact set
| Autor: | Dragan Jukić |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
021103 operations research
Applied Mathematics 0211 other engineering and technologies Boundary (topology) global minimizer existence level nonlinear regression 02 engineering and technology Function (mathematics) 01 natural sciences Domain (mathematical analysis) Set (abstract data type) Maxima and minima 010104 statistics & probability Computational Mathematics Bounded function Applied mathematics Minification 0101 mathematics Mathematics |
| DOI: | 10.1016/j.cam.2020.112791 |
| Popis: | In this paper, we provide a necessary and sufficient criterion for the existence of the global minima of a continuous lower bounded function defined on a noncompact set. Our criterion is based on a new existence level introduced in this paper that describes the behavior of the function as its argument approaches the extended boundary of the minimization domain. Some examples are included to illustrate the efficiency of our criterion. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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