Functional Inequalities Associated with Cauchy Additive Functional Equation in Non-Archimedean Spaces
2011 ◽
Vol 2011
◽
pp. 1-14
◽
Keyword(s):
We investigate the generalized Hyers-Ulam stability of the functional inequalities∥f((x+y+z)/4)+f((3x−y−4z)/4)+f((4x+3z)/4)∥≤∥2f(x)∥and∥f((y−x)/3)+f((x−3z)/3)+f((3x+3z−y)/3)∥≤∥f(x)∥in non-Archimedean normed spaces in the spirit of the Th. M. Rassias stability approach.
Keyword(s):
2013 ◽
Vol 50
(6)
◽
pp. 2061-2070
◽
Keyword(s):
2013 ◽
Vol 59
(2)
◽
pp. 299-320
2008 ◽
Vol 339
(1)
◽
pp. 372-383
◽
Keyword(s):
Keyword(s):