Fixed Point and Nearly m-Dimensional Euler–Lagrange-Type Additive Mappings

Hassan Azadi Kenary ()
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Hassan Azadi Kenary: Yasouj University

A chapter in Modern Discrete Mathematics and Analysis, 2018, pp 235-249 from Springer

Abstract: Abstract In this paper, using the fixed point alternative approach, we prove the generalized Hyers–Ulam–Rassias stability of the following Euler–Lagrange-type additive functional equation where r 1 , … , r m ∈ ℝ $$r_1, \ldots , r_m \in \mathbb R$$ , ∑ i = 1 m r i ≠ 0 , $$\sum _{i=1}^{m}r_i\neq 0,$$ and r i, r j ≠ 0 for some 1 ≤ i

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-74325-7_11

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DOI: 10.1007/978-3-319-74325-7_11

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