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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



A nonlinear complementarity problem in mathematical programming in Banach space

Authors: M. S. Bazaraa, J. J. Goode and M. Z. Nashed
Journal: Proc. Amer. Math. Soc. 35 (1972), 165-170
MSC: Primary 47H99; Secondary 90C30
MathSciNet review: 0300163
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Abstract: An existence and uniqueness theorem for the nonlinear complementarity problem over closed convex cones in a reflexive real Banach space is established, using perturbations of solutions of variational inequalities and monotonicity methods.

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Keywords: Nonlinear complementarity problem, operator equations with constraints, perturbations of variational inequalities, convex cones, nonlinear programming, monotone operators
Article copyright: © Copyright 1972 American Mathematical Society

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