• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제26권2호
• /
• pp.85-97
• /
• 2019

In this paper we introduce the reciprocal-negative Fermat's equation induced by the famous equation in the Fermat's Last Theorem, establish the general solution in the simplest cases and the differential solution to the equation, and investigate, then, the generalized Hyers-Ulam stability in a $quasi-{\beta}-normed$ space with both the direct estimation method and the fixed point approach.

• Korean Journal of Mathematics
• /
• 제27권1호
• /
• pp.81-92
• /
• 2019

We introduce a reciprocal-negative Fermat's equation generalized with constants coefficients and investigate its stability in a quasi-${\beta}$-normed space.