TITLE:
On the (r,φ,ψ)-Suzuki Contraction for the Multi-Valued Mappings
AUTHORS:
Zamir Selko
KEYWORDS:
Suzuki-Contraction, Multi-Valued Mappings, Fixed Point Theorem, Absolutely Continuous Functions
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.9 No.2,
February
3,
2021
ABSTRACT: In this work we try to give a new contraction type in multi-valued mapping on complete metric spaces. We prove the existence of fixed point for (r,φ,ψ)-Suzuki contraction in such spaces. Around our paper, the functionψ is absolutely continuous, and in this case, the contraction proposed by as has a fixed point.