Approximate multi-Jensen-cubic mappings and a fixed point theorem

Elahe Ramzanpour; Abasalt Bodaghi

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica (2020)

  • Volume: 19, page 141-154
  • ISSN: 2300-133X

Abstract

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In this paper, we introduce multi-Jensen-cubic mappings and unify the system of functional equations defining the multi-Jensen-cubic mapping to a single equation. Applying a fixed point theorem, we establish the generalized Hyers-Ulam stability of multi-Jensen-cubic mappings. As a known outcome, we show that every approximate multi-Jensen-cubic mapping can be multi-Jensen-cubic.

How to cite

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Elahe Ramzanpour, and Abasalt Bodaghi. "Approximate multi-Jensen-cubic mappings and a fixed point theorem." Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 19 (2020): 141-154. <http://eudml.org/doc/296818>.

@article{ElaheRamzanpour2020,
abstract = {In this paper, we introduce multi-Jensen-cubic mappings and unify the system of functional equations defining the multi-Jensen-cubic mapping to a single equation. Applying a fixed point theorem, we establish the generalized Hyers-Ulam stability of multi-Jensen-cubic mappings. As a known outcome, we show that every approximate multi-Jensen-cubic mapping can be multi-Jensen-cubic.},
author = {Elahe Ramzanpour, Abasalt Bodaghi},
journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
keywords = {Banach space; multi-Jensen-cubic functional equation; Hyers-Ulam stability},
language = {eng},
pages = {141-154},
title = {Approximate multi-Jensen-cubic mappings and a fixed point theorem},
url = {http://eudml.org/doc/296818},
volume = {19},
year = {2020},
}

TY - JOUR
AU - Elahe Ramzanpour
AU - Abasalt Bodaghi
TI - Approximate multi-Jensen-cubic mappings and a fixed point theorem
JO - Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
PY - 2020
VL - 19
SP - 141
EP - 154
AB - In this paper, we introduce multi-Jensen-cubic mappings and unify the system of functional equations defining the multi-Jensen-cubic mapping to a single equation. Applying a fixed point theorem, we establish the generalized Hyers-Ulam stability of multi-Jensen-cubic mappings. As a known outcome, we show that every approximate multi-Jensen-cubic mapping can be multi-Jensen-cubic.
LA - eng
KW - Banach space; multi-Jensen-cubic functional equation; Hyers-Ulam stability
UR - http://eudml.org/doc/296818
ER -

References

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