7 papers
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…
Exponential Decay of -Solutions to Stochastic Nonlinear Schrödinger Equations Driven by Continuous Martingales
Isamu Dôku, Shunya Hashimoto, Shuji Machihara
We investigate the global well-posedness and asymptotic behavior of -solutions to stochastic nonlinear Schrödinger equations with multiplicative noise driven by continuous squ…
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…
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…
Global solution for the stochastic nonlinear Schrödinger system with quadratic interaction in four dimensions
Masaru Hamano, Shunya Hashimoto, Shuji Machihara
We discuss the global existence of solutions to a system of stochastic Schrödinger equations with multiplicative noise. Our setting of the quadratic nonlinear terms in dimension 4…
Global solutions of stochastic nonlinear Schrödinger system with quadratic interaction
Masaru Hamano, Shunya Hashimoto, Shuji Machihara
The time-global existence of solutions to a system of stochastic Schrödinger equations with multiplicative noise and the quadratic nonlinear terms are discussed in this paper. The…
The well-posedness of the stochastic nonlinear Schrödinger equations in
Isamu Dôku, Shunya Hashimoto, Shuji Machihara
The Cauchy problem for the stochastic nonlinear Schrödinger equation with multiplicative noise is considered where the nonlinear term is of power type and the noise coefficients ar…