3 papers
math.FA2026
A comparison of the weakest contractive conditions for Banach and Kannan mappings
Shunya Hashimoto, Misako Kikkawa, Shuji Machihara +1
We study the weakest convergence-type conditions for fixed point results for Banach and Kannan mappings. Building on Suzuki's weakest condition for Banach mappings and our previous…
math.FA2026
On the weakest conditions for the existence of fixed points of Kannan and Chatterjea type contractions
Shunya Hashimoto, Misako Kikkawa, Shuji Machihara +1
In this paper, we study the weakest possible conditions for fixed point theorems involving two classes of mappings defined by Kannan and Chatterjea. Our approach relies on the so-c…
math.GN2024
A fixed point result of Kannan-type for multi-valued mapping on fuzzy metric spaces
Shunya Hashimoto, Aqib Saghir
We prove a Kannan-type fixed point theorem for multi-valued mappings on G-complete fuzzy metric spaces. The proof uses the Hausdorff fuzzy metric space which was introduced by Rodr…