TY - JOUR AU - Rassias, JOhn Michael AU - Senthil Kumar, Beri Venkatachalapathy AU - Sabarinathan, Sriramulu PY - 2017 TI - Stabilities and counter-examples of mixed Euler-Lagrange $k$-cubic-quartic functional equation in quasi-$\beta$-normed spaces JO - Functional Analysis: Theory, Methods & Applications SP - 15-25 VL - 3 IS - 1 AB - The intention of this study is to introduce a new mixed Euler-Lagrange $k$-cubic-quartic functional equation and then to solve it for general solution. We study its various stabilities in quasi-$\beta$-normed spaces using fixed point technique, as well. We also provide counter-examples to show that the above equation is not stable for singular cases. SN - ISSN 2371-1396 UR - DO - ID - Rassias2017 ER -