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Abstract
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Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 972395, 15 pages
doi:10.1155/2009/972395

Fixed points for multivalued mappings and the metric completeness

S. Dhompongsa and H. Yingtaweesittikul

Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand

Abstract

We consider the equivalence of the existence of fixed points of single-valued mappings and multivalued mappings for some classes of mappings by proving some equivalence theorems for the completeness of metric spaces.