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A Fixed Point Approach to the Stability of Quadratic Functional Equations in Modular Spaces

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In this paper, we investigate the generalized Hyers-Ulam-Rassias stability of the following quadratic functional equation

f(kx + y) + f(kxy) = 2k 2 f(x) + 2f(y)

for any fixed positive integers k ∈ Ζ+ in modular spaces by using fixed point method.
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Keywords: FIXED POINT THEOREM; MODULAR SPACES; QUADRATIC MAPPINGS; STABILITY; Δ2-CONDITION

Document Type: Research Article

Publication date: March 1, 2017

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  • Journal of Advanced Physics is an interdisciplinary peer-reviewed journal consolidating research activities in all experimental and theoretical aspects of advanced physics. The journal aims in publishing articles of novel and frontier physics that merit the attention and interest of the whole physics community. JAP publishes review articles, full research articles, short communications of important new scientific and technological findings in all latest research aspects of physics.
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