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

Identificadores del recurso

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

2038-4815

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:: Collectanea Mathematica; 1997: Vol.: 48 Núm.: 4 -6; p. 825-859; 0010-0757
Idioma:: English
Relació:: https://www.raco.cat/index.php/CollectaneaMathematica/article/view/56434/65856; https://www.raco.cat/index.php/CollectaneaMathematica/article/view/56434/66808
Autor/Productor:: Zabreĭko, P. P. (Petr Petrovich)
Editor:: Universitat de Barcelona
Drets:: Aquesta revista ofereix el text complet de tots els seus articles, excepte els dels cinc darrers anys, que s'aniran alliberant periòdicament fins el 2010. A partir del 2011 requereix subscripció. Podeu accedir-hi aquí. L'accés als articles a text complet inclosos a RACO és gratuït, però els actes de reproducció, distribució, comunicació pública o transformació total o parcial estan subjectes a les condicions d'ús de cada revista i poden requerir el consentiment exprés i escrit dels autors i/o institucions editores.
Data:: 1997
Tipo de recurso:: info:eu-repo/semantics/article; info:eu-repo/semantics/publishedVersion
Format:: text/html; application/pdf

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  1. <p>Ho sentim, aquest no disposem del contingut d'aquest article.Lo sentimos, no disponemos del contenido de este artículo.Sorry, we do not have the content of this article.</p>
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