Open Mathematics (Oct 2020)

On surrounding quasi-contractions on non-triangular metric spaces

  • Karapinar Erdal,
  • Khojasteh Farshid,
  • Mitrović Zoran D.,
  • Rakočević Vladimir

DOI
https://doi.org/10.1515/math-2020-0083
Journal volume & issue
Vol. 18, no. 1
pp. 1113 – 1121

Abstract

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The aim of this paper is to establish some fixed point results for surrounding quasi-contractions in non-triangular metric spaces. Also, we prove the Banach principle of contraction in non-triangular metric spaces. As applications of our theorems, we deduce certain well-known results in b-metric spaces as corollaries.

Keywords