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Article

Approximate Multivariable Bi-Jensen Mappings

1
School of Liberal Studies, Kyung Hee University, Yongin 17104, Republic of Korea
2
Department of Mathematics Education, College of Education, Mokwon University, Daejeon 35349, Republic of Korea
*
Author to whom correspondence should be addressed.
Mathematics 2026, 14(3), 420; https://doi.org/10.3390/math14030420
Submission received: 14 December 2025 / Revised: 14 January 2026 / Accepted: 23 January 2026 / Published: 26 January 2026

Abstract

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

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MDPI and ACS Style

Bae, J.-H.; Park, W.-G. Approximate Multivariable Bi-Jensen Mappings. Mathematics 2026, 14, 420. https://doi.org/10.3390/math14030420

AMA Style

Bae J-H, Park W-G. Approximate Multivariable Bi-Jensen Mappings. Mathematics. 2026; 14(3):420. https://doi.org/10.3390/math14030420

Chicago/Turabian Style

Bae, Jae-Hyeong, and Won-Gil Park. 2026. "Approximate Multivariable Bi-Jensen Mappings" Mathematics 14, no. 3: 420. https://doi.org/10.3390/math14030420

APA Style

Bae, J.-H., & Park, W.-G. (2026). Approximate Multivariable Bi-Jensen Mappings. Mathematics, 14(3), 420. https://doi.org/10.3390/math14030420

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