ON FUNCTIONAL INEQUALITIES CONNECTED WITH INTERTWINING MAPPINGS

• Journal title : Honam Mathematical Journal
• Volume 31, Issue 2,  2009, pp.219-231
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2009.31.2.219
Title & Authors
ON FUNCTIONAL INEQUALITIES CONNECTED WITH INTERTWINING MAPPINGS
Lee, Eun-Hwi; Chang, Ick-Soon;

Abstract
For a mapping satisfying the inequality $\small{{\parallel}{\lambda}f(x)+2{\lambda}f(y)+2f({\lambda}z){\parallel}{\leq}{\parallel}2f({\lambda}({\frac{2}{x}}+y+z)){\parallel}+{\phi}(x,y,z)}$, we will study the stability problem of this mapping.
Keywords
Stability;Additive mapping;Jordan-von Neumann type functional equation;Intertwining mapping;
Language
English
Cited by
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