Fixed points of Suzuki Z-contraction type maps in b-metric spaces

Year 2020, Volume: 4 Issue: 1, 14 - 28, 31.03.2020

Dasari Ratna Babu , Gutti Venkata Ravindranadh Babu

https://doi.org/10.31197/atnaa.632075

Cited By: 3

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.

References

• 1. Prof. Binayak S. Choudhury Department of Mathematics, Bengal Engineering and Science University, West Bengal, India [e-mail]
• 2. Prof H. K. Pathak School of Studies in Mathematics, Pt. Ravi Shankar Shukla University, Chattisgarh, India [e-mail]
• 3. Prof. Yeol Je Cho Department of Mathematics Education and the RINS, Gyeonsang National University, South Korea [e-mail]