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Approximate Euler-Lagrange-Jensen type additive mapping in multi-Banach spaces: A fixed point approach

Fridoun Moradlou
대한수학회 (The Korean Mathematical Society)|2013.04|대한수학회논문집 (Communications of the KMS)|제28권 제2호|pp. 319-333

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참고문헌

키워드

fixed point methodHyers.Ulam.Rassias stabilitymulti-Banach spacesEuler-Lagrange mapping
주제분류수학

초록

Using the fixed point method, we prove the generalized Hyers-Ulam-Rassias stability of the following functional equation in multi-Banach spaces: ∑1≤i<j≤nf(rixi + rjxj)(k)=n − 1k∑ni=rif(xi).

Abstract

Using the fixed point method, we prove the generalized Hyers-Ulam-Rassias stability of the following functional equation in multi-Banach spaces: ∑1≤i<j≤nf(rixi + rjxj)(k)=n − 1k∑ni=rif(xi).

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