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• W2146241362 abstract "This paper establishes basic results on the existence of interior points and interior paths in a nonlinear monotone complementarity problem in ℝ n under very weak interior conditions. We show that the interior paths are bounded, continuous, and all the limit points of the paths are solutions to the complementarity problem. We prove that certain sets, including the solution set to the complementary problem, form a compact convex set. We also prove the existence of generalized interior points and interior paths. These generalized paths are also continuous and contain readily available starting points from which we can follow the paths to locate the solutions to the complementarity problem. We prove our results in the context of maximal monotone operators. The result presented here can be used to develop polynomial time interior point algorithms for general monotone complementarity problems." @default.
• W2146241362 created "2016-06-24" @default.
• W2146241362 creator A5031545287 @default.
• W2146241362 date "1993-02-01" @default.
• W2146241362 modified "2023-10-13" @default.
• W2146241362 title "Existence of Interior Points and Interior Paths in Nonlinear Monotone Complementarity Problems" @default.
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• W2146241362 doi "https://doi.org/10.1287/moor.18.1.128" @default.
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