APPROXIMATE EULER-LAGRANGE-JENSEN TYPE ADDITIVE MAPPING IN MULTI-BANACH SPACES: A FIXED POINT APPROACH

Title & Authors
APPROXIMATE EULER-LAGRANGE-JENSEN TYPE ADDITIVE MAPPING IN MULTI-BANACH SPACES: A FIXED POINT APPROACH

Abstract
Using the fixed point method, we prove the generalized Hyers-Ulam-Rassias stability of the following functional equation in multi-Banach spaces: $\small{{\sum_{1{\leq}i_}$$\small{&}$lt;j{\leq}n}}\;f(\frac{r_ix_i+r_jx_j}{k})
Keywords
fixed point method;Hyers-Ulam-Rassias stability;multi-Banach spaces;Euler-Lagrange mapping;
Language
English
Cited by
1.
GENERALIZED HYERS-ULAM-RASSIAS STABILITY FOR A GENERAL ADDITIVE FUNCTIONAL EQUATION IN QUASI-β-NORMED SPACES,;;

대한수학회보, 2013. vol.50. 6, pp.2061-2070
1.
GENERALIZED HYERS-ULAM-RASSIAS STABILITY FOR A GENERAL ADDITIVE FUNCTIONAL EQUATION IN QUASI-β-NORMED SPACES, Bulletin of the Korean Mathematical Society, 2013, 50, 6, 2061
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