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Multi-Jensen and multi-Euler-Lagrange additive mappings

Abasalt Bodaghi|Amir Sahami
대한수학회 (The Korean Mathematical Society)|2024.07|대한수학회논문집 (Communications of the KMS)|제39권 제3호|pp. 673-692|DOI 10.4134/CKMS.c230166

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키워드

Banach spaceHyers-Ulam stabilitymulti-Euler-Lagrange additive mappingmulti-Jensen
주제분류수학

초록

In this work, an alternative fashion of the multi-Jensen is introduced. The structures of the multi-Jensen and the multi-Euler-Lagrange-Jensen mappings are described. In other words, the system of $n$ equations defining each of the mentioned mappings is unified as a single equation. Furthermore, by applying a fixed point theorem, the Hyers-Ulam stability for the multi-Euler-Lagrange-Jensen mappings in the setting of Banach spaces is established. An appropriate counterexample is supplied to invalidate the results in the case of singularity for multiadditive mappings.

Abstract

In this work, an alternative fashion of the multi-Jensen is introduced. The structures of the multi-Jensen and the multi-Euler-Lagrange-Jensen mappings are described. In other words, the system of $n$ equations defining each of the mentioned mappings is unified as a single equation. Furthermore, by applying a fixed point theorem, the Hyers-Ulam stability for the multi-Euler-Lagrange-Jensen mappings in the setting of Banach spaces is established. An appropriate counterexample is supplied to invalidate the results in the case of singularity for multiadditive mappings.

참고문헌 (35)

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