Fixed points of Suzuki Z-contraction type maps in b-metric spaces
Keywords:
Fixed points, b-metric space, b-continuous, Suzuki Z-contraction type maps.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.
References
Prof. Binayak S. Choudhury Department of Mathematics, Bengal Engineering and Science University, West Bengal, India binayak12@yahoo.co.in
Prof H. K. Pathak School of Studies in Mathematics, Pt. Ravi Shankar Shukla University, Chattisgarh, India hkpathak05@gmail.com
Prof. Yeol Je Cho Department of Mathematics Education and the RINS, Gyeonsang National University, South Korea yjcho@gnu.ac.kr
