Annals of the West University of Timisoara: Mathematics and Computer Science (Dec 2017)

Fixed Point Theorem for Cyclic (μ, ψ, φ)-Weakly Contractions via a New Function

  • Almahalebi Muaadh,
  • Ansari Amir Hojat,
  • Chandok Sumit

DOI
https://doi.org/10.1515/awutm-2017-0011
Journal volume & issue
Vol. 55, no. 2
pp. 3 – 15

Abstract

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In this paper, we introduce a generalization of cyclic (μ, ψ, φ)-weakly contraction via a new function and derive the existence of fixed point for such mappings in the setup of complete metric spaces. Our results extend and improve some fixed point theorems in the literature.

Keywords