Abstract
AbstractWe prove the existence and uniqueness of fixed points of some generalized contractible operators defined on modular G-metric spaces and also prove the modular G-continuity of such operators. Furthermore, we prove that some generalized weakly compatible contractive operators in modular G-metric spaces have a unique fixed point. Our results extend, generalize, complement and include several known results as special cases.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference65 articles.
1. Abbas, M., Nazir, T., Saadati, R.: Common fixed point results for three maps in G-metric spaces. Filomat 25(4), 1–17 (2011)
2. Abbas, M., Nazir, T., Shatanawi, W., Mustafa, Z.: Fixed and related fixed point theorems for three maps in G-metric spaces. Hacet. J. Math. Stat. 41(2), 291–306 (2012)
3. Abd-Elhamed, G.M.: Fixed point results for $(\beta, \alpha)$-implicit contractions in two generalized b-metric spaces. J. Nonlinear Sci. Appl. 14(1), 39–47 (2021)
4. Abdou, A.A.N.: Some fixed point theorems in modular metric spaces. J. Nonlinear Sci. Appl. 9, 4381–4387 (2016)
5. Abobaker, H., Ryan, R.A.: Modular metric spaces. Ir. Math. Soc. Bull. 21, 35–44 (2017)
Cited by
6 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