Abstract
Using the fixed point theorem [12, Theorem 1] in (2,?)-Banach spaces, we
prove the generalized hyperstability results of the bi-Jensen functional
equation 4f(x + z/2; y + w/2) = f (x,y) + f (x,w) + f (z,y) + f
(y,w). Our main results state that, under some weak natural assumptions,
functions satisfying the equation approximately (in some sense) must be
actually solutions to it. The method we use here can be applied to various
similar equations in many variables.
Publisher
National Library of Serbia
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献