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Existence results for the nonlinear complementarity problem and applications to nonlinear analysis. (English) Zbl 0728.90088
The author produces an existence result for the nonlinear complementarity problem associated to a weakly locally compact convex cone K in a Banach space E and to the difference J-F of two nonlinear operators. He specializes his result to the case where K is a so-called Galerkin cone, J is the duality mapping, and F satisfies a suitable growth condition. He also gives some applications to fixed point theory and to eigenvalue problems.
Reviewer: Z.Lin (Anshan)

90C48Programming in abstract spaces
90C33Complementarity and equilibrium problems; variational inequalities (finite dimensions)
49J52Nonsmooth analysis (other weak concepts of optimality)
47H07Monotone and positive operators on ordered topological linear spaces