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Extended Vertical Stochastic $$\varvec{R}_{0}$$ R 0 -Tensor Complementarity Problem

Shouqiang Du, Duan Song, Guangxuan Lin and Yimin Wei ()
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Shouqiang Du: Qingdao University
Duan Song: Qingdao University
Guangxuan Lin: Qingdao University
Yimin Wei: Fudan University

Journal of Optimization Theory and Applications, 2025, vol. 207, issue 3, No 12, 22 pages

Abstract: Abstract The main objective of this paper is to introduce a kind of extended vertical stochastic $$R_0$$ R 0 -tensor complementarity problems. We consider the sample average approximation (SAA) method to solve this proposed problem and prove the boundedness of the solution set. Then, we use the unconstrained optimization method to solve the transformed extended vertical stochastic $$R_{0}$$ R 0 -tensor complementarity problem. Finally, numerical results are presented.

Keywords: Extended vertical stochastic $$R_{0}$$ R 0 -tensor; Complementarity problem; Sample average approximation; 15A69; 90C33 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10957-025-02811-4

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