Best Proximity Points for Cyclical Contraction Mappings With 0-Boundedly Compact Decompositions
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Date
2013
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Eudoxus Press, Llc
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Abstract
The existence of best proximity points for cyclical type contraction mappings is proved in the category of partial metric spaces. The concept of 0-boundedly compact is introduced and used in the cyclical decomposition. Some possible generalizations to the main results are discussed. Further, illustrative examples are given to demonstrate the effectiveness of our results.
Description
Alzabut, Prof. Dr. Jehad/0000-0002-5262-1138; Mukheimer, Aiman/0000-0001-8798-3297; Abdeljawad, Thabet/0000-0002-8889-3768
Keywords
Partial Metric Space, Best Proximity Point, Cyclic Mapping, Banach Contraction Principle, Boundedly Compact Set, 0-Compact Set, Phi-Cyclical Contraction
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Citation
Abdeljawad, T...et al. (2013). Best proximity points for cyclical contraction mappings with 0-boundedly compact decompositions. Journal of Computational Analysis and Application, 15(4), 678-685.
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Q4
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Volume
15
Issue
4
Start Page
678
End Page
685
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