Stability Results for Some Classes of Cubic Functional Equations

Applications involving functional equations (FUEQs) are commonplace. They are essential to various applications, such as fog computing. Ulam’s notion of stability is highly helpful since it provides a range of estimates between exact and approximate solutions. Using Brzdȩk’s fixed point technique (FPT), we establish the stability of the following cubic type functional equations (CFUEQs): Fξ13+ξ233+Fξ13−ξ233=2F(ξ1)+2F(ξ2),2Fξ13+ξ2323=F(ξ1)+F(ξ2) for all ξ1,ξ2∈R.

Related Organizations

Al Jouf University
Saudi Arabia
Sirjan University of Technology
Iran (Islamic Republic of)

Keywords

quadratic cubic functional equation, fixed point theory, QA1-939, stability, Jensen cubic functional equation, Mathematics

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