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$K$-metric and $K$-normed linear spaces: survey

Identificadors del recurs

http://www.raco.cat/index.php/CollectaneaMathematica/article/view/56434

2038-4815

0010-0757

Procedència

(RACO. Revistes Catalanes amb Accés Obert)

Fitxa

Títol:: $K$-metric and $K$-normed linear spaces: survey
Descripció:: 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.
Font:: RACO (Revistes Catalanes amb Accés Obert)
Idioma:: English
Relació:: Collectanea Mathematica, 1997, 1997: Vol.: 48 Núm.: 4 -6, p. 825-859; http://www.raco.cat/index.php/CollectaneaMathematica/article/view/56434/66808
Autor/Productor:: Zabreĭko, P. P. (Petr Petrovich)
Editor:: Universitat de Barcelona
Drets:: info:eu-repo/semantics/openAccess
Data:: 1997
Tipus de recurs:: info:eu-repo/semantics/article; info:eu-repo/semantics/publishedVersion
Format:: application/pdf

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