The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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COMMON FIXED POINTS OF w-COMPATIBLE MAPS IN MODULAR A-METRIC SPACES

  • Kaplan, Elif (Department of Mathematics, Faculty of Science and Arts, Ondokuz Mayis University) ;
  • Kutukcu, Servet (Department of Mathematics, Faculty of Science and Arts, Ondokuz Mayis University)
  • Received : 2020.11.03
  • Accepted : 2021.03.11
  • Published : 2021.05.31
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Abstract

The aim of this paper is to prove a common fixed point theorem for two w-compatible maps in modular A-metric spaces. The main result is also illustrated by an example to demonstrate the degree of validity of our hypothesis.

Keywords

Acknowledgement

The referees have reviewed the paper very carefully. The authors express their deep thanks for the comments.

References

  1. E. Aydin & S. Kutukcu: Modular A-metric spaces. Journal of Science and Arts 17 (2017), no. 3, 423-432.
  2. V.V. Chistyakov: Modular metric spaces, I: Basic concepts. Nonlinear Analysis: Theory, Methods and Applications 72 (2010), no. 1, 1-14. https://doi.org/10.1016/j.na.2009.04.057
  3. V.V. Chistyakov: Modular metric spaces, II: Application to superposition operators. Nonlinear Analysis: Theory, Methods and Applications 72 (2010), no. 1, 15-30. https://doi.org/10.1016/j.na.2009.04.018
  4. G. Jungck: Compatible mappings and common fixed points. International Journal of Mathematics and Mathematical Sciences 9 (1986), no. 4, 771-779. https://doi.org/10.1155/S0161171286000935
  5. E. Kaplan, S. Kutukcu: ω-Compatible Maps in Modular A-Metric Spaces. submitted.