Some generalized quadratic functional equations on monoids
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DOI: 10.1007/s00010-019-00690-5
Abstract: We solve two Pexiderized extensions of the quadratic functional equation on monoids. The equation is extended by replacing the group inversion in the classical quadratic equation with an involution, which may be either homomorphic or… read more here.
Keywords: equations monoids; functional equations; quadratic functional; generalized quadratic ... See more keywords
On Approximately of a $$\sigma -$$σ-Quadratic Functional Equation on a Set of Measure Zero
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DOI: 10.1007/s11785-016-0594-8
Abstract: Let $${\mathbb {C}}$$C be the set of complex numbers, X be a normed space and Y be a Banach space. We investigate the Hyers-Ulam stability theorem when $$f:{\mathbb {C}}\rightarrow Y$$f:C→Y satisfy the following $$\sigma -$$σ-quadratic… read more here.
Keywords: sigma quadratic; measure; functional equation; approximately sigma ... See more keywords
Approximate solution of generalized inhomogeneous radical quadratic functional equations in 2-Banach spaces
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DOI: 10.1186/s13660-019-1973-2
Abstract: AbstractIn this paper, using Brzdȩk and Ciepliński’s fixed point theorems in a 2-Banach space, we investigate approximate solution for the generalized inhomogeneous radical quadratic functional equation of the form f(ax2+by2)=af(x)+bf(y)+D(x,y),$$f \bigl(\sqrt{ax^{2}+by^{2}} \bigr)=af(x)+bf(y) + D(x,y), $$… read more here.
Keywords: radical quadratic; solution generalized; generalized inhomogeneous; approximate solution ... See more keywords
Stability and hyperstability of a quadratic functional equation and a characterization of inner product spaces
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DOI: 10.1515/dema-2018-0027
Abstract: Abstract We have proved theHyers-Ulam stability and the hyperstability of the quadratic functional equation f (x + y + z) + f (x + y − z) + f (x − y + z) +… read more here.
Keywords: hyperstability quadratic; stability hyperstability; quadratic functional; functional equation ... See more keywords
Hyers-Ulam Stability of Quadratic Functional Equation Based on Fixed Point Technique in Banach Spaces and Non-Archimedean Banach Spaces
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DOI: 10.3390/math9202575
Abstract: In this paper, the authors investigate the Hyers–Ulam stability results of the quadratic functional equation in Banach spaces and non-Archimedean Banach spaces by utilizing two different techniques in terms of direct and fixed point techniques. read more here.
Keywords: banach spaces; functional equation; quadratic functional; hyers ulam ... See more keywords
Qualitative Study for a Delay Quadratic Functional Integro-Differential Equation of Arbitrary (Fractional) Orders
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DOI: 10.3390/sym14040784
Abstract: Symmetry analysis has been applied to solve many differential equations, although determining the symmetries can be computationally intensive compared to other solution methods. In this work, we study some operators which keep the set of… read more here.
Keywords: delay quadratic; functional integro; quadratic functional; integro differential ... See more keywords