Abstract
In this study, we utilize the notion of triple controlled metric type space that preserves the symmetry property, which is a generalization of b-metric-type spaces, to prove new fixed-point results. We introduce (α-F)-contractive mappings and Θ-contractive mappings on triple controlled metric type space settings. Then, we establish the existence and uniqueness of fixed-point results on complete triple controlled metric type space. Moreover, some examples and applications to boundary-value problems of the fourth-order differential equation are presented to display the usage of the obtained result.
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)
Reference32 articles.
1. Sur les operations dans les ensembles et leur application aux equation sitegrales;Banach;Fundam. Math.,1922
2. The contractive mapping principle in almost metric spaces;Bakhtin;Funct. Anal. Gos. Ped. Inst. Unianowsk,1989
3. Kamran, T., Samreen, M., and UL Ain, Q. A Generalization of b-metric space and some fixed-point theorems. Mathematics, 2017. 5.
4. Mlaiki, N., Aydi, H., Souayah, N., and Abdeljawad, T. Controlled Metric Type Spaces and the Related contractive Principle. Mathematics, 2018. 6.
5. Abdeljawad, T., Mlaiki, N., Aydi, H., and Souayah, N. Double-controlled, metric-type spaces and some fixed point results. Mathematics, 2018. 6.
Cited by
4 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