Finding solutions of implicit complementarity problems by isotonicity of the metric projection

M Abbas, SZ Németh - Nonlinear Analysis: Theory, Methods & Applications, 2012 - Elsevier
Isac and Németh [G. Isac and AB Németh, Projection method, isotone projection cones and
the complementarity problem, J. Math. Anal. App., 153, 258-275 (1990)] proved that solving
a coincidence point equation (fixed point problem) in turn solves the corresponding implicit
complementarity problem (nonlinear complementarity problem) and they exploited the
isotonicity of the metric projection onto isotone projection cones to solve implicit
complementarity problems (nonlinear complementarity problems) defined by these cones. In …
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