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In this paper, we unify the system of functional equations defining a multi-Jensen-quadratic mapping to a single equation. Using a fixed point theorem, we study the generalized Hyers–Ulam stability of such equation and thus generalizing some known results. As a result, we show that the multi-Jensen-quadratic functional equation is hyperstable.
The concept of information theoretic security is introduced. Secrecy capacity of two receiver broadcast channel for a new scenario is derived in which it is assumed that the legitimate receiver has access to a noisy version of eavesdroppers channel outputs. Also the ideas of code designing to achieve zero error on main channel and perfect secrecy on the eavesdropper's channel, without invoking complicated...
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