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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2020.1
- 수록면
- 767 - 779 (13page)
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This paper primarily discusses and proves the Hyers?Ulam stability of three types of polynomial equations: x n+a1x+a0 = 0, anxn+· · ·+a1x+a0 = 0, and the infinite series equation: P∞i=0 aix i = 0, in dislocated quasi?metric spaces under certain conditionsby constructing contraction mappings and using fixed?point methods. We present an examplen to illustrate that the Hyers?Ulam stability of polynomial equations in dislocated quasi?metric spaces do not work when the constant term is not equal to zero.
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참고문헌 (18)
참고문헌 신청
M. Bidkham / 2010 / Hyers–Ulam stability of polynomial equations / Abstr. Appl. Anal. :7
D. Doitchinov / 1988 / On completeness in quasi–metric spaces / Topology Appl 30:127~148
N. Eghbali / 2016 / Hyers–Ulam–Rassias type stability of polynomial equations / Konuralp J. Math 4(1):88~91
P. Hitzler / 2001 / Generalized metrics and topology in logic programming semantics
D. H. Hyers / 1941 / On the stability of the linear functional equation / Proc. Nat. Acad. Sci. U. S. A 27:222~224
D. Doitchinov / 1988 / On completeness in quasi–metric spaces / Topology Appl 30:127~148
N. Eghbali / 2016 / Hyers–Ulam–Rassias type stability of polynomial equations / Konuralp J. Math 4(1):88~91
P. Hitzler / 2001 / Generalized metrics and topology in logic programming semantics
D. H. Hyers / 1941 / On the stability of the linear functional equation / Proc. Nat. Acad. Sci. U. S. A 27:222~224
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