Common Fixed Points for Multimaps in Metric Spaces

We discuss the existence of common fixed points in uniformly convex metric spaces for single-valued pointwise asymptotically nonexpansive or nonexpansive mappings and multivalued nonexpansive, -nonexpansive, or -semicontinuous maps under different conditions of commutativity.

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Bibliographic Details
Published inFixed point theory and applications (Hindawi Publishing Corporation) Vol. 2010; no. 1
Main Authors Espínola, Rafa, Hussain, Nawab
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.01.2010
SpringerOpen
Subjects
Analysis
Applications of Mathematics
Differential Geometry
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Research Article
Takahashi's Legacy in Fixed Point Theory
Topology
Multivalued Mapping
Fixed Point Result
Geodesic Segment
Nonexpansive Mapping
Common Fixed Point
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Summary:We discuss the existence of common fixed points in uniformly convex metric spaces for single-valued pointwise asymptotically nonexpansive or nonexpansive mappings and multivalued nonexpansive, -nonexpansive, or -semicontinuous maps under different conditions of commutativity.
ISSN:1687-1812
1687-1820
1687-1812
DOI:10.1155/2010/204981