Fixed points and approximately heptic mappings in non-Archimedean normed spaces

Advances in Difference Equations

Abbas Najati¹  Hamid Majani²  Mohammad Bagher Ghaemi²  Choonkil Park³  Madjid Eshaghi Gordji⁴ 

[1] Department of Mathematics, Faculty of Mathematical Sciences, University of Mohaghegh Ardabili, Ardabil, Iran;Department of Mathematics, Iran University of Science and Technology, Narmak, Iran;Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul, Korea;Department of Mathematics, Semnan University, Semnan, Iran

关键词: heptic functional equation;    Hyers-Ulam stability;    fixed point method;   

DOI  :  10.1186/1687-1847-2013-209

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Using the fixed point method, we investigate the stability of the system of additive, quadratic and quartic functional equations with constant coefficients in non-Archimedean normed spaces. Also, we give an example to show that some results in the stability of functional equations in (Archimedean) normed spaces are not valid in non-Archimedean normed spaces. MSC:39B82, 46S10, 47H10.

【 授权许可】

CC BY