Abdeljawad, ThabetAbdeljawad, T.Alzabut, J. O.Alzabut, JehadMukheimer, A.Zaidan, Y.Matematik2017-03-142017-03-142013Abdeljawad, T...et al. (2013). Best proximity points for cyclical contraction mappings with 0-boundedly compact decompositions. Journal of Computational Analysis and Application, 15(4), 678-685.1521-1398Alzabut, Prof. Dr. Jehad/0000-0002-5262-1138; Mukheimer, Aiman/0000-0001-8798-3297; Abdeljawad, Thabet/0000-0002-8889-3768The 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.eninfo:eu-repo/semantics/closedAccessPartial Metric SpaceBest Proximity PointCyclic MappingBanach Contraction PrincipleBoundedly Compact Set0-Compact SetPhi-Cyclical ContractionArticle1546786852-s2.0-84876847843WOS:000315700300008N/AQ4