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A continuation method for weakly Kannan maps

 

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Opened Access A continuation method for weakly Kannan maps
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Author: Ariza Ruiz, David
Jiménez Melado, Antonio
Department: Universidad de Sevilla. Departamento de Análisis Matemático
Date: 2010
Published in: Fixed Point Theory and Applications, 2010, 321594-1-321594-12.
Document type: Article
Abstract: The first continuation method for contractive maps in the setting of a metric space was given by Granas. Later, Frigon extended Granas theorem to the class of weakly contractive maps, and recently Agarwal and O’Regan have given the corresponding result for a certain type of quasicontractions which includes maps of Kannan type. In this note we introduce the concept of weakly Kannan maps and give a fixed point theorem, and then a continuation method, for this class of maps.
Cite: Ariza Ruiz, D. y Jiménez Melado, A. (2010). A continuation method for weakly Kannan maps. Fixed Point Theory and Applications, 2010, 321594-1-321594-12.
Size: 202.9Kb
Format: PDF

URI: http://hdl.handle.net/11441/43842

DOI: 10.1155/2010/321594

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