in this paper, we prove the hyers-ulam stability in$beta$-homogeneous probabilistic modular spaces via fixed point method for the functional equation[f(x+ky)+f(x-ky)=f(x+y)+f(x-y)+frac{2(k+1)}{k}f(ky)-2(k+1)f(y)]for fixed integers $k$ with $kneq 0,pm1.$

won{gil park [won{gil park, j. math. anal. appl., 376 (1) (2011) 193{202] proved the hyers{ulam stability of the cauchy functional equation, the jensen functional equation and the quadraticfunctional equation in 2{banach spaces. one can easily see that all results of this paper are incorrect.hence the control functions in all theorems of this paper are not correct. in this paper, we correctthes...

Using UV-vis spectrophotometic method, the formation constants for interaction of Cd2+(aq) andCo2+(aq) ions with L-Alanine were experimentally studied at pH = 4.1 ± 0.01 (50mM of potassiumhydrogen phthalate buffer), ionic strength of 0.1M potassium nitrate and at 5 differenttemperatures 15,20, 25,30 and 35°C. The optical absorption spectra of mixtures containingconsidered cations and L-Alanine ...

The structure of eigenvalues of −y q x y λy, y 0 0, and y 1 ∑m k 1 αky ηk , will be studied, where q ∈ L1 0, 1 ,R , α αk ∈ R, and 0 < η1 < · · · < ηm < 1. Due to the nonsymmetry of the problem, this equation may admit complex eigenvalues. In this paper, a complete structure of all complex eigenvalues of this equation will be obtained. In particular, it is proved that this equation has always a ...

using uv-vis spectrophotometic method, the formation constants for interaction of cd2+(aq) andco2+(aq) ions with l-alanine were experimentally studied at ph = 4.1 ± 0.01 (50mm of potassiumhydrogen phthalate buffer), ionic strength of 0.1m potassium nitrate and at 5 differenttemperatures 15,20, 25,30 and 35°c. the optical absorption spectra of mixtures containingconsidered cations and l-alanine ...