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Wybrane pełne teksty z tego czasopisma
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Abstrakty
In this paper, we extend most of the results proved in [4]. In particular, we give some topological properties of the quasi-pseudometric type spaces. Moreover, some fixed point and common fixed point theorems are obtained in the setting of quasi-pseudometric spaces, introduced some months ago by Kazeem et al in [4].
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
61--76
Opis fizyczny
Bibliogr. 8 poz.
Twórcy
autor
- Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch 7701, South Africa, gabayae2@gmail.com
Bibliografia
- [1] Abbas M., Jungck G., Common fixed point results for noncommuting mappings without continuity in come metric spaces, J. Math. Anal. App., 341(2008), 416-420.
- [2] Gaba Y.U., Startpoints and (ɑ, ɣ)-contractions in quasi-pseudometric spaces, Journal of Mathematics, Vol. 2014 (2014), Article ID 709253, 8 pages. http://dx.doi.org/10.1155/2014/709253.
- [3] Huang L.-G., Zhang X., Cone metric spaces and fixed point theorems of contractive mappings, Journal of Mathematical Analysis and Applications, 332(2) (2007), 1468-1476.
- [4] Kazeem E.F., Agyingi C.A., Gaba Y.U., On quasi-pseudometric type spaces, Chinese Journal of Mathematics, 2014, Article ID 198685, 7 pages, 2014. doi:10.1155/2014/198685.
- [5] Khamsi M.A., Remarks on cone metric spaces and fixed point theorems of contractive mappings, Fixed Point Theorem and Application, 2010 (2010), 7 pages, doi:10.1155/2010/315398.
- [6] Wilson W.A., On semi-metric spaces, American Journal of Mathematics, 53(2) (1931), 361-373.
- [7] Włodarczyk K., Plebaniak R., Asymmetric structures, discontinuous contractions and iterative approximation of fixed and periodic points, Fixed Point Theory and Applications, 2013 (2013) 128, 1-18. http://dx.doi.org/10.1186/1687-1812-2013-128.
- [8] Włodarczyk K., Plebaniak R., New completeness and periodic points of discontinuous contractions of Banach type in quasi-gauge spaces without Hausdorff property, Fixed Point Theory and Applications, 2013 (2013) 289, 1-27. http://dx.doi.org/10.1186/1687-1812-2013-289.
Uwagi
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.
Typ dokumentu
Bibliografia
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