Related Suzuki-type fixed point theorems in ordered metric space

Autor:	Outass Rida, Chaira Karim, Marhrani El Miloudi
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Generalized Kannan mappings Fixed point theorem Suzuki-type contraction Partially ordered metric spaces Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433
Zdroj:	Fixed Point Theory and Applications, Vol 2020, Iss 1, Pp 1-26 (2020)
Druh dokumentu:	article
ISSN:	1687-1812
DOI:	10.1186/s13663-020-00674-0
Popis:	Abstract In this paper, we use Suzuki-type contraction to prove three fixed point theorems for generalized contractions in an ordered space equipped with two metrics; we obtain some generalizations of the Kannan fixed point theorem. Our results on partially ordered metric spaces generalize and extend some results of Ran and Reurings as well as of Nieto and Rodríguez-López. To illustrate the effectiveness of our main result, we give an application to matrix equations which involves monotone mappings.
Databáze:	Directory of Open Access Journals
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