Abstract
In this paper, we consider and extend some fixed point results in F-complete F-metric spaces by relaxing the symmetry of complete metric spaces. We generalize α,β-admissible mappings in the setting of F-metric spaces. The derived results are supplemented with suitable examples, and the obtained results are applied to find the existence of the solution to the integral equation. The analytical results are compared through numerical simulation. We pose certain open problems for extending and applying our results in the future.
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)
Reference30 articles.
1. Sur les operations dans les ensembles abstracts et leur application aux equations integrals;Fundam. Math.,1922
2. The contraction mapping principle in almost metric space;Funct. Ana. Gos. Ped. Inst. Unianowsk,1989
3. Matthews, S.G. (1992). Partial Metric Topology, Department of Computer Science, University of Warwick. Research Report.
4. Cone metric spaces and fixed point theorems of contractive mappings;J. Math. Anal. Appl.,2007
5. Kirk, W.A., and Shahzad, N. (2014). Fixed Point Theory in Distances Spaces, Springer.
Cited by
7 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