Open AccessNon‐Archimedean Hyers‐Ulam Stability of an Additive‐Quadratic Mapping
Author(s) -
Hassan Azadi Kenary,
Themistocles M. Rassias,
Hamid Rezaei,
S. Talebzadeh,
Won-Gil Park
Publication year - 2012
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2012/824257
Subject(s) - mathematics , quadratic equation , stability (learning theory) , combinatorics , functional equation , pure mathematics , mathematical analysis , geometry , differential equation , computer science , machine learning
Using fixed point method and direct method, we prove the Hyers-Ulam stability of the following additive-quadratic functional equation 2((++)/)+2((−+)/)+2((+−)/)+2((−++)/)=4()+4()+4(), where is a positive real number, in non-Archimedean normed spaces
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom