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http://dx.doi.org/10.5666/KMJ.2020.60.4.767

On the Hyers-Ulam Stability of Polynomial Equations in Dislocated Quasi-metric Spaces  

Liu, Yishi (Department of Mathematics, Sun Yat-sen University)
Li, Yongjin (Department of Mathematics, Sun Yat-sen University)
Publication Information
Kyungpook Mathematical Journal / v.60, no.4, 2020 , pp. 767-779 More about this Journal
Abstract
This paper primarily discusses and proves the Hyers-Ulam stability of three types of polynomial equations: xn+a1x+a0 = 0, anxn+⋯+a1x+a0 = 0, and the infinite series equation: ${\sum\limits_{i=0}^{\infty}}\;a_ix^i=0$, in dislocated quasi-metric spaces under certain conditions by constructing contraction mappings and using fixed-point methods. We present an example 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.
Keywords
dislocated quasi-metric spaces; Hyers-Ulam stability; polynomial equations;
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