SOME BEST PROXIMITY POINT RESULTS OF SEVERAL α-ψ INTERPOLATIVE PROXIMAL CONTRACTIONS

Authors

  • Jia Deng College of Mathematics and Statistics, Sichuan University of Science and Engineering
  • Xiao-lan Liu College of Mathematics and Statistics, Sichuan University of Science and Engineering
  • Yan Sun College of Mathematics and Statistics, Sichuan University of Science and Engineering
  • Laxmi Rathour

Abstract

In this paper, we introduce several types α-ψ interpolative proximal contractions and provide some sfficient conditions to prove the existence of best proximity points for these contractions in metric spaces. In the case of proximal contraction of the first kind, these metric spaces are not necessarily complete. Meanwhile, some new results can derive from our results. Finally, some examples are provided to show the validity of our results.

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Published

2022-08-27

Issue

Volume 27, Number 3, September 2022

Section

Articles