> \pJava Excel API v2.6 Ba==h\:#8X@"1Arial1Arial1Arial1Arial + ) , * `DC,"title[*]contributor[author]contributor[advisor]keywords[*]date[issued] publisher citationsidentifier[uri]identifier[doi]abstractrelation[journal]relation[volume]relation[no]relation[page]$Additive rho-functional inequalities8Hyers-Ulam stability;
additive rho-functional equation;
additive rho-functional inequality;
non-Archimedean normed space;
Banach space;2014-10$INT SCIENTIFIC RESEARCH PUBLICATIONSJJOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, v. 7, no. 5, Page. 296-310http://hdl.handle.net/20.500.11754/52227;
https://www.isr-publications.com/jnsa/articles-1672-additive-rho-functional-inequalities;QIn this paper, we solve the additive rho-functional inequalities parallel to f(x + y) - f(x) - f(y)parallel to = parallel to rho(2f(x+ y/2) - f(x) - f(y))parallel to, (1) parallel to 2f(x + y/2) - f(x) - f(y)parallel to = parallel to rho(f(x + y) - f(x) - f(y))parallel to, (2) where rho is a fixed non-Archimedean number with vertical bar rho vertical bar 1 or rho is a fixed complex number with vertical bar rho vertical bar 1. Using the direct method, we prove the Hyers-Ulam stability of the additive rho-functional inequalities (I) and (2) in non-Archimedean Banach spaces and in complex Banach spaces, and prove the Hyers-Ulam stability of additive rho-functional equations associated with the additive rho-functional inequalities (1) and (2) in non-Archimedean Banach spaces and in complex Banach spaces. (C)2014 All rights reserved..JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS7296-310&HQsj&)KLng!Jl
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