Fixed point-type results for a class of extended cyclic self-mappings under three general weak contractive conditions of rational type

This article discusses three weak φ -contractive conditions of rational type for a class of 2-cyclic self-mappings defined on the union of two non-empty subsets of a metric space to itself. If the space is uniformly convex and the subsets are non-empty, closed, and convex, then the iterates of point...

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Bibliographic Details
Published inFixed point theory and applications (Hindawi Publishing Corporation) Vol. 2011; no. 1; p. 102
Main Authors De la Sen, Manuel, Agarwal, Ravi P
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 21.12.2011
BioMed Central Ltd
Subjects
Analysis
Applications of Mathematics
Differential Geometry
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Topology
Fixed Point Theory
Real Sequence
Unique Fixed Point
Contractive Condition
Convex Banach Space
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Summary:This article discusses three weak φ -contractive conditions of rational type for a class of 2-cyclic self-mappings defined on the union of two non-empty subsets of a metric space to itself. If the space is uniformly convex and the subsets are non-empty, closed, and convex, then the iterates of points obtained through the self-mapping converge to unique best proximity points in each of the subsets.
ISSN:1687-1812
1687-1812
DOI:10.1186/1687-1812-2011-102