7 citations · 21 across the 11 of their papers we have counts for
6 papers · 1 filter
Hyers-Ulam-Rassias stability of functional equations with parameters
Jing Zhang, Qi Liu, Yongmo Hu +6
This paper explores the Hyers-Ulam stability of generalized Jensen additive and quadratic functional equations in \(β\)-homogeneous \(F\)-space, showing that approximately satisfyi…
A Fixed Points Approach to stability of the Pexider Equation
E. Elqorachi, John M. Rassias, B. Bouikhalene
Using the fixed point theorem we establish the Hyers-Ulam-Rassias stability of the generalized Pexider functional equation $$\frac{1}{\mid K\mid}\sum_{k\in K}f(x+k\cdot y)=g(x)+h(y…
Characterization of a generalized triangle inequality in normed spaces
F. Dadipour, M. S. Moslehian, J. M. Rassias +1
For a normed linear space and we characterize all -tuples for which the generalized triangle inequality of the second type $…
A characterization of inner product spaces
Mohammad Sal Moslehian, John M. Rassias
In this paper we present a new criterion on characterization of real inner product spaces. We conclude that a real normed space is an inner product space if $$\sum_{…
Stability of ternary Jordan homomorphisms and derivations associated to the generalized Jensen equation
M. Eshaghi Gordji, E. Rashidi, J. M. Rassias
In this paper, we establish the generalized Hyers-Ulam stability of Jordan homomorphisms and Jordan derivations between ternary algebras via the generalized Jensen equation $rf(\fr…
Fuzzy stability of additive--quadratic functional equations
M. Eshaghi Gordji, N. Ghobadipour, J. M. Rassias
In this paper we investigate the generalized Hyers- Ulam stability of the functional equation in fuzzy Banach spaces.