Some advances in the theory of quasi-pseudometric type spaces

• Autorzy: Gaba Y. U.

Identyfikatory

DOI

10.1515/fascmath-2016-0004

• Języki publikacji: EN

Abstrakty

EN

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

EN

quasi-pseudometric type spaces; fixed point; left K-completeness

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2016
• Tom: Nr 56
• Strony: 61--76
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Gaba Y. U.

• Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch 7701, South Africa

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.