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On Weak Contractive Cyclic Maps in Generalized Metric Spaces and Some Related Results on Best Proximity Points and Fixed Points
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-04-19
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This paper discusses the properties of convergence of sequences to limit cycles defined by best proximity points of adjacent subsets for two kinds of weak contractive cyclic maps defined by composite maps built with decreasing functions with either the so-called r-weaker Meir-Keeler or r,r0-stronger Meir-Keeler functions in generalized metric spaces.
Particular results about existence and uniqueness of fixed points are obtained for the case when the sets of the cyclic disposal have a nonempty intersection.
Illustrative examples are discussed.
American Psychological Association (APA)
de La Sen, Manuel. 2016. On Weak Contractive Cyclic Maps in Generalized Metric Spaces and Some Related Results on Best Proximity Points and Fixed Points. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-14.
https://search.emarefa.net/detail/BIM-1103434
Modern Language Association (MLA)
de La Sen, Manuel. On Weak Contractive Cyclic Maps in Generalized Metric Spaces and Some Related Results on Best Proximity Points and Fixed Points. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-14.
https://search.emarefa.net/detail/BIM-1103434
American Medical Association (AMA)
de La Sen, Manuel. On Weak Contractive Cyclic Maps in Generalized Metric Spaces and Some Related Results on Best Proximity Points and Fixed Points. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-14.
https://search.emarefa.net/detail/BIM-1103434
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103434