GENERALIZED HYERS-ULAM STABILITY OF MIXED TYPE ADDITIVE QUADRATIC FUNCTIONAL EQUATION OF RANDOM DERIVATION IN RANDOM NORMED ALGEBRAS.

  • Shaymaa Alshybani Department of Mathematics, College of Science, University of Al-Qadisiyah, Al-Diwaniyah, Iraq. Email: Shaymaa.farhan@qu.edu.iq , shmhader@gmail.com.
DOI: https://doi.org/10.29304/jqcm.2019.11.4.647
Keywords: generalized Hyers-Ulam stability(H-U stability);, additive mapping;, quadratic mapping;, random normed spaces(RN-spaces);, random normed algebras (RN-algebras);, fixed point.

Abstract

By the fixed point method, I have proved the generalized stability of the random derivation of the following additive–quadratic functional equation
f(x+2y)+f(x+y)+f(y-x)=f(2x+y)-f(x)+4f(y)+f(-y)
in random normed algebras.

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Published
2020-01-03
How to Cite
Alshybani, S. (2020). GENERALIZED HYERS-ULAM STABILITY OF MIXED TYPE ADDITIVE QUADRATIC FUNCTIONAL EQUATION OF RANDOM DERIVATION IN RANDOM NORMED ALGEBRAS. Journal of Al-Qadisiyah for Computer Science and Mathematics, 11(4), Math Page 74 -. https://doi.org/10.29304/jqcm.2019.11.4.647
Issue
Vol 11 No 4 (2019)
Section
Math Articles