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Related Suzuki-type fixed point theorems in ordered metric space.
- Source :
-
Fixed Point Theory & Applications . 6/1/2020, Vol. 2020 Issue 1, p1-26. 26p. - Publication Year :
- 2020
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *METRIC spaces
*FIXED point theory
Subjects
Details
- Language :
- English
- ISSN :
- 16871820
- Volume :
- 2020
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Fixed Point Theory & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 143506627
- Full Text :
- https://doi.org/10.1186/s13663-020-00674-0