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Related Fixed Point Theorems via General Approach of Simulations Functions

Author

Listed:
  • Kastriot Zoto
  • Nabil Mlaiki
  • Hassen Aydi
  • Alfred Peris

Abstract

In this work, we extend and complement some results in view of general and wider structures, such as b−metric spaces. By considering existing classes of Ζ−contractions and Ψ−simulating functions with a solid impact in database results of fixed point theory, we introduce a new general class of simulating functions, called as Ψ−s simulation functions, and also types of κψ−s− contractions in a more general framework. This approach covers, extends, and unifies several published works in the early and late literature.

Suggested Citation

  • Kastriot Zoto & Nabil Mlaiki & Hassen Aydi & Alfred Peris, 2020. "Related Fixed Point Theorems via General Approach of Simulations Functions," Journal of Mathematics, Hindawi, vol. 2020, pages 1-12, September.
    • Handle: RePEc:hin:jjmath:4820191
    DOI: 10.1155/2020/4820191
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