Diametrically Contractive Multivalued Mappings

Diametrically contractive mappings on a complete metric space are introduced by V. I. Istratescu. We extend and generalize this idea to multivalued mappings. An easy example shows that our fixed point theorem is more applicable than a former one obtained by H. K. Xu. A convergence theorem of Picard...

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Bibliographic Details
Main Authors: S. Dhompongsa, H. Yingtaweesittikul
Format: Article
Language:English
Published: SpringerOpen 2007-06-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2007/19745