Abstract
The concepts of general topology are widely used in many different areas of mathematics and modern physics. The mathematical theory of maxima and minima is no exception. So the most general definition of a local minimum (maximum) of a function can be given if a space, on which the function is defined, is topological. The reader can find the systematic application of the topological methods to nonlinear optimization in R n in the two volume book [JJT] by Jongen, Jonker and Twilt.
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© 1998 Springer Science+Business Media Dordrecht
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Abramov, A.P. (1998). Preliminaries. In: Connectedness and Necessary Conditions for an Extremum. Mathematics and Its Applications, vol 431. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9119-5_1
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DOI: https://doi.org/10.1007/978-94-015-9119-5_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4981-0
Online ISBN: 978-94-015-9119-5
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