Author(s)

Zamir Selko

Department of Mathematics, Faculty of Natural Sciences, University of Elbasan, “Aleksandër XHUVANI”, Elbasan, Albania.

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 function ψ is absolutely continuous, and in this case, the contraction proposed by as has a fixed point.

Suzuki-Contraction, Multi-Valued Mappings, Fixed Point Theorem, Absolutely Continuous Functions

Selko, Z. (2021) On the (r,φ,ψ)-Suzuki Contraction for the Multi-Valued Mappings. Journal of Applied Mathematics and Physics, 9, 211-219. doi: 10.4236/jamp.2021.92015.