APPROXIMATION OF A CAUCHY-JENSEN ADDITIVE FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN NORMED SPACES

doi:10.1016/S0252-9602(12)60174-X

摘要/Abstract

摘要：

Using the fixed point and direct methods, we prove the Hyers-Ulam stability of the following Cauchy-Jensen additive functional equation
2f(∑^p_i₌₁x_i+∑^q_j₌₁y_j+ 2∑^d_k₌₁z_k/2) =2f(∑^p_i₌₁x_i+∑^q_j₌₁y_j+ 2∑^d_k₌₁(z_k),

where p, q, d are integers greater than 1, in non-Archimedean normed spaces.

关键词: Hyers-Ulam stability, Cauchy-Jensen additive functional equation, fixed point, non-Archimedean normed spaces

Abstract:

where p, q, d are integers greater than 1, in non-Archimedean normed spaces.

Key words: Hyers-Ulam stability, Cauchy-Jensen additive functional equation, fixed point, non-Archimedean normed spaces

中图分类号:

39B52

Hassan Azadi Kenary. APPROXIMATION OF A CAUCHY-JENSEN ADDITIVE FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN NORMED SPACES[J]. 数学物理学报(英文版), 2012, 32(6): 2247-2258.

Hassan Azadi Kenary. APPROXIMATION OF A CAUCHY-JENSEN ADDITIVE FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN NORMED SPACES[J]. Acta mathematica scientia,Series B, 2012, 32(6): 2247-2258.

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