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March 2, 2024Asian-European Journal of Mathematics

Weighted variational inequalities on Hadamard manifolds

Nagendra Singh Akhlad Iqbal S. Ali

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Abstract

In this study, we extend the weighted variational inequality problem (WVIP) and the Minty weighted variational inequality problem (MWVIP) from linear spaces to nonlinear spaces, specifically Hadamard manifolds, and show the relationships between WVIP and vector variational inequalities. In addition, we establish the concept of weighted monotonicities on the Hadamard manifold and prove the existence of many solutions.

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Cite This Study

Singh et al. (2024) studied this question.

synapsesocial.com/papers/68e76041b6db6435876d6cbc https://doi.org/10.1142/s1793557124500244

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