A Continuation Method for Weakly Kannan Maps

Fixexd point theory and applications

David Ariza-Ruiz¹  Antonio Jimé⁴  nez-Melado⁵ 

[1] Departamento de Análaga, Málaga, Spain;lisis Matemático, Facultad de Ciencias, Universidad de Má

关键词: Banach Space;    Differential Geometry;    Wide Class;    Local Version;    Bounded Function;   

DOI  :  10.1155/2010/321594

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY