Affiliation:
1. Department of Mathematics, Payame Noor University, Tehran P.O. Box 19395-4697, Iran
Abstract
In this work, we introduce some new concepts such as n-cyclic Fisher quasi-contraction mappings, full-n-noncyclic and regular-n-noncyclic Fisher quasi-contraction mappings in metric spaces. We then generalize the results by Safari-Hafshejani, Amini-Harandi and Fakhar. Meanwhile, we answer the question “under what conditions does a full-n-noncyclic Fisher quasi-contraction mapping have n(n−1)/2 unique optimal pairs of fixed points?”. Further, to support the main results, we highlight all of the new concepts via non-trivial examples.
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)
Reference19 articles.
1. A generalization of Banach’s contraction principle;Proc. Amer. Math. Soc.,1974
2. A comparison of various definitions of contractive mappings;Rhoades;Trans. Amer. Math. Soc.,1977
3. Quasicontractions on metric spaces;Fisher;Proc. Am. Math. Soc.,1979
4. Alqahtani, B., Fulga, A., and Karapınar, E. (2018). Sehgal type contractions on b-metric space. Symmetry, 10.
5. On Ćirić maps with a generalized contractive iterate at a point and Fisher’s quasi-contractions in cone metric spaces;Appl. Math. Comput.,2010
Cited by
1 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