Nawaz, SundasHassani, Murad KhanBatool, AfshanAkgul, Ali2024-12-242024-12-2420241029-242Xhttps://doi.org/10.1186/s13660-024-03179-1https://hdl.handle.net/20.500.12604/7303In the present article, the Hyers-Ulam stability of the following inequality is analyzed: {d(f(i+j), (f(i)+ f(j)))<= d(rho(1)((f(i+j)+f(i-j), 2f(i))) + d(rho 2(2f(i+j2), (f(i)+f(j)))) (0.1) in the setting of digital metric space, where rho(1) and rho(2) are fixed nonzero complex numbers with 1>root 2|rho(1)|+|rho(2)| by using fixed point and direct approach.eninfo:eu-repo/semantics/openAccessMathematical analysisStabilityMetric spacesArticle20241N/AWOS:001303642900001Q12-s2.0-8520275158710.1186/s13660-024-03179-1