9 papers
Oscillation conditions of half-linear delay difference equations of second-
C. Jayakumar, A. Murugesan, Vediyappan Govindan +1
The goal of our work is to investigate the oscillation and asymptotic properties of a class of difference equations with a condition. In contrast to most previous studies, the osci…
Approximation of general 3-variable Jensen -functional inequalities in complex Banach spaces
Gang Lu, Wenlong Sun, Hanyue Qiao +2
In this paper, we introduce and investigate general 3-variable Jensen -functional equation, and prove the Hyers-Ulam stability of the Jensen functional equations associated with…
Ulam stability of Jensen functional inequality in groups
Gang Lu, Lulu Qu, Yuanfeng Jin +1
In this paper we establish the Ulam stability of Jensen functional inequality in some classes of groups.
Permuting triderivations and permuting trihomomorphisms in complex Banach algebras
Choonkil Park
In this paper, we solve the following tri-additive -functional inequalities \begin{eqnarray}\label{0.1} && \nonumber \| f(x+y, z-w, a+b) + f(x-y, z+w, a-b) \\ && \nonumber\qquad…
Stability of set-valued generalized additive Cauchy functional equation
Gang Lu, Yuanfeng Jin, Choonkil Park
The main purpose of this paper is to determine the solution of generalized convex set-valued mappings satisfying certain functional equation. Some conclusions of stability of set-v…
Lie bracket derivation-derivations in Banach algebras
Choonkil Park
In this paper, we introduce and solve the following additive-additive -functional inequality \begin{eqnarray}\label{0.1} && \|g\left(x+y\right) -g(x) -g(y)\| +\| h(x+y) + h(…