Measures of noncompactness in modular spaces and fixed point theorems for multivalued nonexpansive mappings
This paper is devoted to state some fixed point results for multivalued mappings in modular vector spaces. For this purpose, we study the uniform noncompact convexity, a geometric property for modular spaces which is similar to nearly uniform convexity in the Banach spaces setting. Using this proper...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/127679 |
| Acceso en línea: | https://hdl.handle.net/11441/127679 https://doi.org/10.1007/s11784-021-00876-y |
| Access Level: | acceso abierto |
| Palabra clave: | Fixed point Multivalued nonexpansive mapping Modular vector space |
| Sumario: | This paper is devoted to state some fixed point results for multivalued mappings in modular vector spaces. For this purpose, we study the uniform noncompact convexity, a geometric property for modular spaces which is similar to nearly uniform convexity in the Banach spaces setting. Using this property, we state several new fixed point theorems for multivalued nonexpansive mappings in modular spaces. |
|---|