Subdifferential rolle’s and mean value inequality theorems
Two main results presented by the authors include a mean-value inequality for a class of Gateaux subdifferentiable functions and a subdifferential Rolle’s theorem in a Banach space. For the second part, if a (Gateaux/Fréchet)subdifferentiable function f is bounded by " on the boundary of a unit...
| Autores: | , |
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| Tipo de documento: | artigo |
| Data de publicação: | 1997 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositório: | Docta Complutense |
| Idioma: | inglês |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/57011 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/57011 |
| Access Level: | Acceso aberto |
| Palavra-chave: | 517.98 Gâteaux subdifferential Mean value inequality theorems Subdifferential approximate Rolle's theorem Fréchet subdifferential Análisis funcional y teoría de operadores |
| Resumo: | Two main results presented by the authors include a mean-value inequality for a class of Gateaux subdifferentiable functions and a subdifferential Rolle’s theorem in a Banach space. For the second part, if a (Gateaux/Fréchet)subdifferentiable function f is bounded by " on the boundary of a unit ball, then there exists a Gateaux/Fréchet) subgradient of f at an interior point of the ball which is bounded by 2". |
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