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Best Proximity Points For Cyclical Contraction Mappings With 0-Boundedly Compact Decompositions
Journal article   Peer reviewed

Best Proximity Points For Cyclical Contraction Mappings With 0-Boundedly Compact Decompositions

T. Abdeljawad, J. O. Alzabut, A. Mukheimer and Y. Zaidan
Journal of computational analysis and applications, Vol.15(4), pp.678-685
01/05/2013

Abstract

Computer Science Computer Science, Theory & Methods Mathematics Mathematics, Applied Physical Sciences Science & Technology Technology
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.

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