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math.FA2025
Stability of quadratic functional equation in modular spaces
Abderrahman Baza, Mohamed Rossafi, Arul Joseph Gnanaprakasam
In this paper, we study the Hyers-Ulam stability of the following equation \begin{multline*} ϕ(x+y-z)+ϕ(x+z-y)+ϕ(y+z-x)=ϕ(x-y)+ϕ(x-z)+ϕ(z-y) +ϕ(x)+ϕ(y) +ϕ(z) \end{multline*} in mod…
math.FA2021
Solving system of Urysohn type integral equation via bicomplex partial b-metric space
Gunaseelan Mani, Arul Joseph Gnanaprakasam, Yongjin Li +1
In this paper, we introduce the notion of bicomplex partial b-metric space and prove some common fixed point theorems. Our results generalize and expand some of the literature's we…