Some fixed point theorems in partial \(S_b\)-metric spaces

  • Koushik Sarkar University of North Bengal
  • Manoranjan Singha University of North Bengal

Abstract

N. Souayah [10] introduced the concept of partial Sb-metric spaces. In this paper, we established a fixed point theorem for a new class of contractive mappings and a generalization of Theorem 2 from [T. Suzuki, A generalized Banach contraction principle that characterizes metric completeness, Proc. Am. Math. Soc. 136, (2008), 1861-1869] in partial Sb-metric spaces. We provide an example in support of our result.

Published
2018-01-22
How to Cite
SARKAR, Koushik; SINGHA, Manoranjan. Some fixed point theorems in partial \(S_b\)-metric spaces. Journal of Advanced Studies in Topology, [S.l.], v. 9, n. 1, p. 1-9, jan. 2018. ISSN 2090-388X. Available at: <http://m-sciences.com/index.php?journal=jast&page=article&op=view&path%5B%5D=1370>. Date accessed: 23 feb. 2018. doi: https://doi.org/10.20454/jast.2018.1370.
Section
Original Articles