drsatyaprakash.singh@rsmams.org
Back to rsmams.org About JRSMAMS For Authors Submit a Paper Contact Us
Research Article

ON ANALYSIS OF THE FRECHET DERIVATIVES

E
Eziokwu, C. Emmanuel Department of Mathematics, College of Physical and Applied Science, Michael Okpara University of Agriculture, Umudike, Abia State, NIGERIA
Volume 7, Issue 1 Pages 65-84 December 31, 2019 644 downloads
Article overview

Abstract

This work reviews various aspects of the Frechet derivatives basically from the rst principle through some numerous results bordering on the basic theories. On displaying thorough proofs to the numerous analytical results, we hence showed that the Frechet derivatives is not a number at all but a linear operator and in the end we succeeded in establishing the existence of various generalized results on the Frechet derivatives.

Keywords and Phrases

Banach SpaceOperatorDerivativesChain RuleMean Value Theorem and Implicit Function Theorem.

AMS Subject Classification

46B25.

Reference information

How to Cite

Eziokwu, C. Emmanuel (2019). ON ANALYSIS OF THE FRECHET DERIVATIVES. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 7(1), 65-84.
Back to this issue
Copied