7 papers · 1 filter
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(…
Convergence of algorithms for fixed points of relatively nonexpansive mappings via Ishikawa iteration
V. Pragadeeswarar, R. Gopi, Choonkil Park +1
By using the Ishikawa iterative algorithm, we approximate the fixed points and the best proximity points of a relatively non expansive mapping. Also, we use the von Neumann sequenc…