Solving nonlinear complementarity problems by isotonicity of the metric projection |
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| Authors: | M Abbas SZ Németh |
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| Institution: | 1. Department of Mathematics, Lahore University of Management Sciences, 54792-Lahore, Pakistan;2. School of Mathematics, The University of Birmingham, The Watson Building, Edgbaston, Birmingham B15 2TT, United Kingdom |
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| Abstract: | The main motivation for introducing the notion of isotone projection cones was to solve nonlinear complementarity problems. The notion of *-isotone projection cones is introduced by this paper in a similar fashion. Iterative methods for finding solutions of complementarity problems on *-isotone projection cones are presented. The problem of finding nonzero solutions of these problems is also considered. |
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