Abstract
AbstractIn this paper, we have established some fixed point theorems in the context of strong b-metric spaces. For this purpose, Ciric type contraction for single-valued mapping and Nadler’s type Banach and Chatterjea contractions for set-valued mappings are applied to obtain fixed point and common fixed points. A simple and different technique has been used to obtain the results. Our results unify, extend and generalize the existence of corresponding present and conventional results existing in the literature of fixed point theory.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference34 articles.
1. Abuloha, M., Rizk, D., Abodayeh, K., Mukheimer, A., Souayah, N.: Fs-contractive mappings in controlled metric type spaces. Res. Nonlinear Anal. 4(3), 149–158 (2021). https://doi.org/10.53006/rna.928319
2. Afshari, H., Aydi, H., Karapinar, E.: Existence of fixed points of set-valued mappings in b-metric spaces. East Asian Math. J. 32(3), 319–322 (2016)
3. Alghamdi, M.A., Gulyaz-Ozyurt, S., Karapınar, E.: A note on extended Z-contraction. Mathematics 8(2), 195 (2020). https://doi.org/10.3390/math8020195
4. Ali, M.U., Aydi, H., Alansari, M.: New generalizations of set valued interpolative Hardy–Rogers type contractions in b-metric spaces. J. Funct. Spaces 2021, Article ID 6641342 (2021). https://doi.org/10.1155/2021/6641342
5. Aydi, H., Bota, M., Karapinar, E., Moradi, S.: A common fixed point for weak ø contractions on b-metric spaces. Fixed Point Theory 13, Article ID 2 (2012)
Cited by
12 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