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Xiaoni Chi, Jein-Shan Chen, Sufficient weighted second-order cone complementarity problems

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DOI: 10.23952/jnva.9.2025.6.03

Volume 9, Issue 6, 1 December 2025, Pages 863-883

 

Abstract. In this paper, we investigate the properties of a weighted second-order cone complementarity problem (wSOCCP), which covers a wide range of complementarity problems with applications in equilibrium problems from engineering and economics. We show that the column sufficient wSOCCP with cross commutative property has a convex (perhaps empty) solution set. In particular, when the weight vector is zero, the reverse implication is also true.

 

How to Cite this Article:
X. Chi, J.S. Chen, Sufficient weighted second-order cone complementarity problems, J. Nonlinear Var. Anal. 9 (2025), 863-883.