- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 4 Issue: 1
- Fixed points of Suzuki Z-contraction type maps in b-metric spaces
Fixed points of Suzuki Z-contraction type maps in b-metric spaces
Authors : Dasari RATNA BABU, Gutti VENKATA RAVİNDRANADH BABU
Pages : 14-28
Doi:10.31197/atnaa.632075
View : 6 | Download : 2
Publication Date : 2020-03-31
Article Type : Research
Abstract :In this paper, we indroduce Suzuki Z-contraction type (I) maps, Suzuki Z-contraction type (II) maps, for a single selfmap and prove the existence and uniqueness of fixed points. Our results extend / generalize the results of Kumam, Gopal and Budhia [19] and Padcharoen, Kumam, Saipara and Chaipunya [22] from metric space setting to b-metric spaces. We provide examples in support of our results.Keywords : Fixed points, b-metric space, b-continuous, Suzuki Z-contraction type maps.