Fixed point theorems in partial $S_b$-metric spaces
Authors :
Koushik Sarkar 1 * and Manoranjan Singha 2
Author Address :
1,2 Department of Mathematics, University of North Bengal, Darjeeling-734013, India.
*Corresponding author.
Abstract :
Some remarks on the article $\lq\lq${\it{A Fixed Point in Partial $S_b$-Metric spaces}}, An. St. Univ. Ovidus Constanta, 24(3), 2016, 351-362" by {\it{Nizar Souayah}} have been expressed through this paper. All the results of the above-mentioned article have been rediscovered without using symmetric condition with necessary modifications and corrections. Also a Suzuki type fixed point theorem using $F$-contraction have been achieved in partial $S_b$-metric spaces.
Keywords :
Partial $S_b$-metric space, Fixed point, $F$-contraction
DOI :
Article Info :
Received : July 12, 2019; Accepted : December 02, 2019.