Author:
Dey Lakshmi Kanta,Kumam Poom,Senapati Tanusri
Abstract
<p>In this paper, we introduce the notions of generalized α-F-contraction and modified generalized α-F-contraction. Then, we present sufficient conditions for existence and uniqueness of fixed points for the above kind of contractions. Necessarily, our results generalize and unify several results of the existing literature. Some examples are presented to substantiate the usability of our obtained results.</p>
Publisher
Universitat Politecnica de Valencia
Reference20 articles.
1. S. Banach, Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales, Fund. Math. 3 (1922), 133-181. https://doi.org/10.4064/fm-3-1-133-181
2. LB. Ciric, A generalization of Banach's contraction principle, Proc. Amer. Math. Soc. 45, no. 2 (1974), 267-273. https://doi.org/10.2307/2040075
3. P. Das and L. K. Dey, A fixed point theorem in a generalized metric space, Soochow J. Math. 33, no. 1 (2007), 33-39.
4. P. Das and L. K. Dey, Fixed point of contractive mappings in generalized metric spaces, Math. Slovaca 59, no. 4 (2009), 499-504. https://doi.org/10.2478/s12175-009-0143-2
5. L. K. Dey and S. Mondal, Best proximity point of F-contraction in complete metric space, Bull. Alahabad Math. Soc. 30, no. 2 (2015), 173-189.
Cited by
13 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