A nonlinear complementarity problem in mathematical programming in Banach space-Reference-Cited by-同舟云学术

A nonlinear complementarity problem in mathematical programming in Banach space

Published:1972 Issue:1 Volume:35 Page:165-170
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bazaraa M. S.,Goode J. J.,Nashed M. Z.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1972-035-01/S0002-9939-1972-0300163-5/S0002-9939-1972-0300163-5.pdf

Reference4 articles.

1. The nonlinear complementarity problem with applications. I, II;Karamardian, S.;J. Optim. Theory Appl.,1969

2. Demicontinuity, hemicontinuity and monotonicity;Kato, Tosio;Bull. Amer. Math. Soc.,1964

3. on a “monotonicity” method for the solution of non-linear equations in Banach spaces;Minty, George J.;Proc. Nat. Acad. Sci. U.S.A.,1963

4. Convergence of convex sets and of solutions of variational inequalities;Mosco, Umberto;Advances in Math.,1969

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