In 1940, Ulam proposed the general Ulam stability problem see 1 . Let G1 be a group and let G2 be a metric group with the metric d ·, · . Given ε > 0, does there exist a δ > 0 such that if a mapping h : G1 → G2 satisfies the inequality d h xy , h x h y < δ for all x, y ∈ G1 then there is a homomorphism H : G1 → G2 with d h x ,H x < ε for all x ∈ G1? In 1941, this problem was solved by Hyers 2 i...

This paper examines the impact of globalization on income inequality in a panel of 78 developed and developing countries over 2002–2015. Moreover, the indirect effect of financial development in the link between globalization and income inequality is also analyzed by incorporating the interaction term between globalization and financial development. The empirical evidence based on the first-dif...

One of the interesting questions concerning the stability problems of functional equations is as follows: when is it true that a mapping satisfying a functional equation approximately must be close to the solution of the given functional equation? Such an idea was suggested in 1940 by Ulam 1 . The case of approximately additive mappings was solved by Hyers 2 . In 1978, Rassias 3 generalized Hye...

We consider a new approach to approximate stability analysis for tri-additive functional inequality and obtain the optimal approximation permuting tri-derivations tri-homomorphisms in unital matrix algebras via vector-valued alternative fixed-point theorem, which is popular technique of proving equations. also present small list aggregation functions on classical, well-known special investigate...