In this paper, the Gâteaux and Frêchet differentiations of functions on Riesz space are introduced without topological structure. Thus, we aim to study Gâteaux and Frêchet differentiability functions in vector lattice by developing topology-free techniques, and also, we give some relations with other kinds of operators.
Aydın, Abdullah and Korkmaz, Erdal
Introduce Gâteaux and Frêchet Derivatives in Riesz Spaces,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 15,
2, Article 16.
Available at: https://digitalcommons.pvamu.edu/aam/vol15/iss2/16