BEST PROXIMITY AND FIXED POINT OUTCOMES IN METRIC SPACES FOR THE PROXIMAL CONTRACTION OF α0−(ψ0,g0)

  • Rashmi Sharma Department of Mathematics, GNA University, Phagwara, Punjab, INDIA
  • Manoj Kumar Department of Mathematics, Baba Mastnath University, Rohtak, Haryana, INDIA
DOI: https://doi.org/10.56827/SEAJMMS.2023.1903.12
Keywords: Best proximity point, metric space, fixed point, proximal generalized contraction.

Abstract

In this paper, we introduce new notions of α0−(ψ0,g0)- proximal contraction of Type-I and Type-II and modified α0 − (ψ0,g0)- proximal contraction. In the setting of these notions, we prove certain fixed point theorems in metric space. Additionally, a few applications are provided to show how the results can be used.
Published
2023-12-30
Issue
Vol 19 No 03 (2023): South East Asian J. of Mathematics and Mathematical Sciences
Section
Research Article

Copyright (c) 2023 South East Asian J. of Mathematics and Mathematical Sciences

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