Geodesic
Extremums of vector-valued functions of several real variables
Čebyševskij sbornik, Tome 14 (2013) no. 1, pp. 119-134 
Jela Šušić. Extremums of vector-valued functions of several real variables. Čebyševskij sbornik, Tome 14 (2013) no. 1, pp. 119-134. http://geodesic.mathdoc.fr/item/CHEB_2013_14_1_a11/
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     author = {Jela \v{S}u\v{s}i\'c},
     title = {Extremums of vector-valued functions of several real variables},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {119--134},
     year = {2013},
     volume = {14},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2013_14_1_a11/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we try to give a generalization of the usual notion of extremum of real functions to the vector-valued functions of several real variables. Our aim is that in this generalization remain valid the usual properties and relations for extremum of real functions. A considered generalization is also characterized by an equivalent generalization. Our definitions and related results are illustrated by numerous examples.

[1] Arhipov G. I., Sadovničij V. A., Čubarikov V. N., Lekcii po matematicheskomu analizu, v. I, MSU, M., 1995 (in Russian)

[2] Arhipov G. I., Sadovničij V. A., Čubarikov V. N., Lekcii po matematicheskomu analizu, v. II, MSU, M., 1997 (in Russian)