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$K$-metric and $K$-normed linear spaces: survey
[Recurs electrònic]
Zabreĭko, P. P. (Petr Petrovich),
1939-
We give a short survey on some fixed point theorems which are generalizations of the classical Banach-Caccioppoli principle of contractive mappings. All these results are gathered in three theorems about existence and uniqueness of fixed points for operators which act in $K$-metric or $K$-normed linear spaces and, in particular, in local convex spaces and scales of Banach spaces. Three fixed point theorems presented in this article cover numerous applications in numerical methods, theory of integral equations, some results on iterative methods for construction of periodic solution to ordinary differential equations, existence and uniqueness results on solvability for Cauchy and Goursat problems of Ovsjannikov - Treves - Nirenberg type and so on.
Accés lliure
https://www.raco.cat/index.php/CollectaneaMathematica/article/view/56434
RACO (Articles)
Collectanea Mathematica
[s.l.]: Universitat de Barcelona, 1997
2038-4815
1997: Vol.: 48 Núm.: 4 -6, p. 825-859
Articles de revistes electròniques