On Eta-Directional Derivative
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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.
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