On Eta-Directional Derivative


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Authors

  • Susanta Kumar Mohanta Department of Mathematics, Government College Sundargarh, Rangadhipa, Sundargarh-770002, Odisha, India

Keywords:

Frechet derivative, Gauteaux derivative, Hadamard derivative, $\eta$-invex set, Normalized vector function

Abstract

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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Published

15-09-2019

How to Cite

Susanta Kumar Mohanta. (2019). On Eta-Directional Derivative. International Journal of Mathematics And Its Applications, 7(3), 95–102. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/233

Issue

Vol. 7 No. 3 (2019)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.