2026-06-30T02:00:51Zhttps://repisalud.isciii.es/rest/oai/requestoai:repisalud.isciii.es:20.500.12105/201022024-11-28T21:35:31Zcom_20.500.12105_15322com_20.500.12105_2051col_20.500.12105_16967
Repisalud
author
Shahzad, Naseer
author
Valero, Oscar
2024-07-04T12:54:55Z
2024-07-04T12:54:55Z
2015-02-14
Shahzad N, Valero O. A Nemytskii-Edelstein type fixed point theorem for partial metric spaces. Fixed Point Theory Appl. 2015 Feb 14;:26.
10.1186/s13663-015-0266-9
1687-1812
Fixed Point Theory and Applications
http://hdl.handle.net/20.500.13003/10939
2-s2.0-84922777556
http://hdl.handle.net/20.500.12105/20102
349758800001
In 1994, Matthews obtained an extension of the celebrated Banach fixed point theorem to the partial metric framework (Ann. N.Y. Acad. Sci. 728:183-197, 1994). Motivated by the Matthews extension of the Banach theorem, we present a Nemytskii-Edelstein type fixed point theorem for self-mappings in partial metric spaces in such a way that the classical one can be retrieved as a particular case of our new result. We give examples which show that the assumed hypothesis in our new result cannot be weakened. Moreover, we show that our new fixed point theorem allows one to find fixed points of mappings in some cases in which the Matthews result and the classical Nemytskii-Edelstein one cannot be applied. Furthermore, we provide a negative answer to the question about whether our new result can be retrieved as a particular case of the classical Nemytskii-Edelstein one whenever the metrization technique, developed by Hitzler and Seda (Mathematical Aspects of Logic Programming Semantics, 2011), is applied to partial metric spaces.
eng
A Nemytskii-Edelstein type fixed point theorem for partial metric spaces
research article