陳界山Chen, Jein-Shan蘇揚善Su, Yang-San2019-09-052018-08-282019-09-052018http://etds.lib.ntnu.edu.tw/cgi-bin/gs32/gsweb.cgi?o=dstdcdr&s=%22http://etds.lib.ntnu.edu.tw/cgi-bin/gs32/gsweb.cgi?o=dstdcdr&s=id=%22G060340006S%22.&%22.id.&http://rportal.lib.ntnu.edu.tw:80/handle/20.500.12235/101542noneNCP-functions play an important role in nonlinear complementarity problems(NCP). In this paper, we recall some definitions and properties of NCP-functions such as generalized Fisher-Burmeister function, ϕpFB(a; b) = ∥(a; b)∥p - (a + b), and the generalized Natural-Residual function, ϕpNR(a; b) = ap-(a-b)p+: We attempt to generalize Natural-Residual function as a new NCP-function: ~ϕpNR(a; b) = (a + b)p-|a -b|p:NCPFisher-BurmeisterNatural-ResidualcomplementarityNCPFisher-BurmeisterNatural-Residualcomplementarity