Functional Inequalities for Multi-additive-Quadratic-Cubic Mappings

Abasalt Bodaghi and Themistocles M. Rassias ()
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Abasalt Bodaghi: Islamic Azad University
Themistocles M. Rassias: National Technical University of Athens

A chapter in Approximation and Computation in Science and Engineering, 2022, pp 103-126 from Springer

Abstract: Abstract In this chapter, a new version of multi-quadratic mappings are characterized. By this characterization, every multi-additive-quadratic-cubic mapping which is defined as system of functional equations can be unified as a single equation. In addition, by applying two fixed point theorems, the generalized Hyers-Ulam stability of multi-additive-quadratic-cubic mappings in normed and non-Archimedean normed spaces are studied. A few corollaries corresponding to some known stability and hyperstability outcomes for multi-additive, multi-quadratic, multi-cubic, and multi-additive-quadratic-cubic mappings (functional equations) are presented.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-84122-5_7

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DOI: 10.1007/978-3-030-84122-5_7

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