Generalizations of $$R_0$$ R 0 and $$\textbf{SSM}$$ SSM Properties for Extended Horizontal Linear Complementarity Problem

Punit Kumar Yadav () and Palpandi Karuppaiah ()
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Punit Kumar Yadav: Malaviya National Instiute of Technology Jaipur
Palpandi Karuppaiah: Malaviya National Instiute of Technology Jaipur

Journal of Optimization Theory and Applications, 2023, vol. 199, issue 1, No 15, 392-414

Abstract: Abstract In the setting of the Extended Horizontal Linear Complementarity Problem, we study boundedness, nonemptyness, uniqueness and connectedness issues of solution sets. We introduce column $$R_0$$ R 0 -W and column $$\textbf{SSM}$$ SSM -W properties and, using degree theory, establish boundedness and existence results. Some uniqueness results are also covered. We provide a necessary condition and a sufficient condition for EHLCP to have connected solution sets.

Keywords: Column W-property; M matrix; $$R_0$$ R 0 matrix; Strictly semimonotone matrix; Degree theory; Complementarity problem; 15B99; 90C33 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10957-023-02262-9

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