Abstract
AbstractIn this paper, we propose two new contractions via simulation function that involves rational expression in the setting of partial b-metric space. The obtained results not only extend, but also generalize and unify the existing results in two senses: in the sense of contraction terms and in the sense of the abstract setting. We present an example to indicate the validity of the main theorem.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference30 articles.
1. Dass, B.K., Gupta, S.: An extension of Banach contraction principle through rational expressions. Indian J. Pure Appl. Math. 6, 1455–1458 (1975)
2. Jaggi, D.S.: Some unique fixed point theorems. Indian J. Pure Appl. Math. 8, 223–230 (1977)
3. Karapınar, E., Dehici, A., Redjel, N.: On some fixed points of $(\alpha -\psi )$-contractive mappings with rational expressions. J. Nonlinear Sci. Appl. 10, 1569–1581 (2017)
4. Karapınar, E., Roldan, A., Sadarangani, K.: Existence and uniqueness of best proximity points under rational contractivity conditions. Math. Slovaca 66(6), 1427–1442 (2016)
5. Karapınar, E., Marudai, M., Pragadeeswarar, V.: Fixed point theorems for generalized weak contractions satisfying rational expression on a ordered partial metric space. Lobachevskii J. Math. 34(1), 116–123 (2013)
Cited by
8 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献