We generalize the $$P, P_0, R_0$$ P , P 0 , R 0 properties for a nonlinear function associated with the standard nonlinear complementarity problem to the setting of generalized nonlinear complementarity problem (GNCP). We prove that if a continuous function has the order $$P_0$$ P 0 and $$R_0$$ R 0 properties then all the associated GNCPs have solutions.
Positivity – Springer Journals
Published: Jul 16, 2013
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