On Eta-Directional Derivative
Abstract views: 9 / PDF downloads: 5
Keywords:Frechet derivative, Gauteaux derivative, Hadamard derivative, $\eta$-invex set, Normalized vector function
The primary objective of this article is to introduced generalized directional derivative($\eta$-directional derivative) of a function in the direction of a certain function in Linear spaces, Hilbert spaces and Banach spaces. This will be the generalization of Frechet derivative, Gauteaux derivative and Hadamard derivative under certain conditions. Some properties of $\eta$-directional derivative with there examples have been studied.
How to Cite
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.