A generalization of Krasnosel'skii compression fixed point theorem by using star convex sets
In the framework of fixed point theory, many generalizations of the classical results due to Krasnosel’skii are known. One of these extensions consists in relaxing the conditions imposed on the mapping, working with k-set contractions instead of continuous and compact maps. The aim of this work if t...
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2020 |
| País: | España |
| Recursos: | Universidad de Santiago de Compostela (USC) |
| Repositorio: | Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela |
| Idioma: | inglés |
| OAI Identifier: | oai:minerva.usc.gal:10347/31828 |
| Acesso em linha: | http://hdl.handle.net/10347/31828 |
| Access Level: | acceso abierto |
| Palavra-chave: | 34B05 34B15 34B18 47H08 47H09 47H10 |
| Resumo: | In the framework of fixed point theory, many generalizations of the classical results due to Krasnosel’skii are known. One of these extensions consists in relaxing the conditions imposed on the mapping, working with k-set contractions instead of continuous and compact maps. The aim of this work if to study in detail some fixed point results of this type, and obtain a certain generalization by using star convex sets. |
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