A Fixed Point theorem on S_b-metric spaces with a weak S_b-metric

K.P.R. Sastry¹ , K.K.M. Sarma² , P. Krishna Kumari³

Section:Research Paper, Product Type: Journal-Paper
Vol.6 , Issue.5 , pp.7-11, Oct-2019

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i5.711

Online published on Oct 31, 2019

Copyright © K.P.R. Sastry, K.K.M. Sarma, P. Krishna Kumari . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this paper we define weak S_b-metric on a S_b-metric space which is an extension of weak S-metric on a S-metric space. We establish a fixed point theorem on S_b-metric space with a weak S_b-metric. Examples are given at relevant places. We obtain the result of K.Sarada., V.Jhansi Rani., V.Siva Rama Prasad., as a corollary. We also obtain Banach Contraction principle as a corollary

Key-Words / Index Term :
S-metric space and weak S-metric, S_b-metric space, weak S_b-metric, fixed point

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