Geodesic
Minimum of a functional in a metric space and fixed points
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 7, pp. 1167-1174 Cet article a éte moissonné depuis la source Math-Net.Ru

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The existence of minimizers is examined for a function defined on a metric space. Theorems are proved that assert the existence of minimizers, and examples of the functions for which these theorems are valid are given. Then, these theorems are applied to proving theorems on fixed points of univalent and multivalued mappings of metric spaces. Finally, coincident points of two mappings are examined. 
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A. V. Arutyunov; B. D. Gel'man. Minimum of a functional in a metric space and fixed points. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 7, pp. 1167-1174. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_7_a3/

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