New coincidence and common fixed point theorems

[EN] In this paper, we obtain some extensions and a generalization of a remarkable fixed point theorem of Proinov. Indeed, we obtain some coincidence and fixed point theorems for asymptotically regular non-self and self-maps without requiring continuity and relaxing the completeness of the space. So...

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Detalles Bibliográficos
Autores: Singh, S.L., Hematulin, Apichai, Pant, Rajendra
Tipo de recurso: artículo
Fecha de publicación:2009
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/86553
Acceso en línea:https://riunet.upv.es/handle/10251/86553
Access Level:acceso abierto
Palabra clave:Coincidence point
Fixed point
Banach contraction
Quasi-contraction
Asymptotic regularity
Descripción
Sumario:[EN] In this paper, we obtain some extensions and a generalization of a remarkable fixed point theorem of Proinov. Indeed, we obtain some coincidence and fixed point theorems for asymptotically regular non-self and self-maps without requiring continuity and relaxing the completeness of the space. Some useful examples and discussions are also given.