Approximate Multivariable Bi-Jensen Mappings

In this paper, we determine the stability of multivariable bi-Jensen functional equation mnfx1+⋯+xmm,y1+⋯+ynn=∑i=1m∑j=1nf(xi,yj) in Banach spaces. We establish a Hyers-Ulam-Rassias stability result using a direct method and a fixed-point scheme, respectively.

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Journal
Mathematics
Published
2026-01-26
DOI
https://doi.org/10.3390/math14030420
Primary Topic
Functional Equations Stability Results
Type
article
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article

Approximate Multivariable Bi-Jensen Mappings

Won-Gil Park, Jae-Hyeong Bae
Mathematics
Functional Equations Stability Results
article

Approximate Multivariable Bi-Jensen Mappings

Won-Gil Park, Jae-Hyeong Bae
article en

Abstract

In this paper, we determine the stability of multivariable bi-Jensen functional equation mnfx1+⋯+xmm,y1+⋯+ynn=∑i=1m∑j=1nf(xi,yj) in Banach spaces. We establish a Hyers-Ulam-Rassias stability result using a direct method and a fixed-point scheme, respectively.

MathematicsVol. 14(3)
Mokwon University (KR), Kyung Hee University (KR)
Openalex Percentile: Top 76%
Functional Equations Stability Results
DOIOpen Access PDFOpenAlex
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Approximate Multivariable Bi-Jensen Mappings — Won-Gil Park, Jae-Hyeong Bae · Mathematics (2026) | TGRS Research Map | TGRS