Fixed Points for α-F_G (ξ,λ,θ)-Generalized Suzuki Contraction with C_G-Class Functions in b_v (s)-Metric Spaces

Authors

  • Leta Bekere Kumssa Department of Mathematics, Madda Walabu University, Bale Robe, Ethiopia

DOI:

https://doi.org/10.48048/tis.2022.2587

Keywords:

Fixed point, Suzuki contraction, C-class function, C_G-class function, b_v (s)-metric spaces

Abstract

The primary goal of this research is to derive generalized C_G-class functions and prove that a fixed point exists for α-F_G (ξ,λ,θ)-generalized Suzuki contraction on b_v (s) -metric spaces. In our study, we use some properties of different control functions. Our findings broaden and unify a number of previous results in the literature. The conclusions are supported by examples.

HIGHLIGHTS

  • This paper focuses on defining the C_G-Class Functions
  • α-F_G (ξ,λ,θ)-generalized Suzuki contractions in b_v (s)-Metric Spaces is proposed and a result is proved
  • Examples are provided for α-F_G (ξ,λ,θ)-generalized Suzuki contractions, C_G-class function, and b_v (s)-metric spaces

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Published

2022-11-15

How to Cite

Kumssa, L. B. . (2022). Fixed Points for α-F_G (ξ,λ,θ)-Generalized Suzuki Contraction with C_G-Class Functions in b_v (s)-Metric Spaces. Trends in Sciences, 19(24), 2587. https://doi.org/10.48048/tis.2022.2587