Theoretical fixed point theorem on S-metric space under binary relation via implicit contractive condition with an application

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Abstract

In this paper, we extend and generalises the results by Ahmadullah et al. to self mappings on the S-metric space under a binary relation via implicit contractive condition with an application to an integral equation. We also provided an illustrative example.

Keywords:

S-metric space, binary relation, self-mapping, fixed point, implicit relation, integral equation

Mathematics Subject Classification:

Mathematics
  • Pages: 1019-1028
  • Date Published: 01-01-2021
  • Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

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Published

01-01-2021

How to Cite

Lucas Wangwe, and Santosh Kumar. “Theoretical Fixed Point Theorem on S-Metric Space under Binary Relation via Implicit Contractive Condition With an Application”. Malaya Journal of Matematik, vol. 9, no. 01, Jan. 2021, pp. 1019-28, https://www.malayajournal.org/index.php/mjm/article/view/1210.

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Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

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