On the Stability of Reciprocal-negative Fermat’s Equation in Quasi-β-normed Spaces

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309

2019, v.26 no.2, pp.85-97

https://doi.org/https://doi.org/10.7468/jksmeb.2019.26.2.85

Kang, Dongseung (Mathematics Education, Dankook University)
Kim, Hoewoon B. (Department of Mathematics, Oregon State University)

Kang, Dongseung, & Kim, Hoewoon B.. (2019). ON THE STABILITY OF RECIPROCAL-NEGATIVE FERMAT'S EQUATION IN QUASI-β-NORMED SPACES. , 26(2), 85-97, https://doi.org/https://doi.org/10.7468/jksmeb.2019.26.2.85

복사

Abstract

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 <TEX>$quasi-{\beta}-normed$</TEX> space with both the direct estimation method and the fixed point approach.

keywords: generalized Hyers-Ulam stability, reciprocal-negative Fermat's equation, <tex> ${\beta}-normed$</tex> space

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논문 상세

Vol.26 No.2

ON THE STABILITY OF RECIPROCAL-NEGATIVE FERMAT'S EQUATION IN QUASI-&#946;-NORMED SPACES

On the Stability of Reciprocal-negative Fermat’s Equation in Quasi-β-normed Spaces

Abstract

한국수학교육학회지시리즈B:순수및응용수학

ON THE STABILITY OF RECIPROCAL-NEGATIVE FERMAT'S EQUATION IN QUASI-β-NORMED SPACES