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An approach to the existence and uniqueness of fixed point results in $${\varvec{b}}$$ -metric spaces via $${\varvec{s}}$$ -simulation functions.
- Source :
- Journal of Fixed Point Theory & Applications; Dec2017, Vol. 19 Issue 4, p2819-2830, 12p
- Publication Year :
- 2017
-
Abstract
- In this work, we introduce the concept of an s-simulation function, where s is a given real number with $$s \ge 1$$ , and use this concept for proving many results in b-metric spaces. One of these results is the existence and uniqueness of a fixed point for nonlinear mappings involving s-simulation functions. Also, we give some examples to illustrate the main results with some numerical results. Our results generalize and improve many results in b-metric spaces and also in metric spaces. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16617738
- Volume :
- 19
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Journal of Fixed Point Theory & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 126092032
- Full Text :
- https://doi.org/10.1007/s11784-017-0453-x