On the Hyers–Ulam Stability of Polynomial Equations in Dislocated Quasi–metric Spaces
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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.
Abstract
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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