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- W2950593609 abstract "In this paper, we prove that the Banach contraction principle proved by S. G. Matthews in 1994 on 0--complete partial metric spaces can be extended to cyclical mappings. However, the generalized contraction principle proved by D. Ili'{c}, V. Pavlovi'{c} and V. Rakou{c}evi'{c} in new extensions of Banach's contraction principle to partial metric spaces, Appl. Math. Lett. 24 (2011), 1326--1330 on complete partial metric spaces can not be extended to cyclical mappings. Some examples are given to illustrate the effectiveness of our results. Moreover, we generalize some of the results obtained by W. A. Kirk, P. S. Srinivasan and P. Veeramani in points for mappings satisfying cyclical contractive conditions, Fixed Point Theory 4 (1) (2003),79--89. Finally, an Edelstein's type theorem is also extended in case one of the sets in the cyclic decomposition is 0-compact." @default.
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- W2950593609 date "2011-12-26" @default.
- W2950593609 modified "2023-09-27" @default.
- W2950593609 title "Banach Contraction Principle for Cyclical Mappings on Partial Metric Spaces" @default.
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