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Commun. Korean Math. Soc. 2025; 40(1): 157-179
Online first article January 16, 2025 Printed January 31, 2025
https://doi.org/10.4134/CKMS.c240100
Copyright © The Korean Mathematical Society.
Variational inequality problem with hyperbolic scalars
Amjad Ali; Romesh Kumar; Aditi Sharma
University of Jammu; University of Jammu; University of Jammu
In this paper, we initiate the study of variational inequalities with hyperbolic scalars. We study some basic properties of variational inequalities and hyperbolic version of Lax-Milgram theorem for $\mathbb{D}$-Hilbert spaces.
Keywords: Hyperbolic numbers, product-type sets, product-type functions, $\mathbb{D}$-Lipschitz condition, $\mathbb{D}$-contraction mapping, $\mathbb{D}$-Hilbert spaces, $\mathbb{D}$-bilinear functionals
MSC numbers: Primary 49J40, 47H10, 90C33
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