Electronic Resource
Springer
Journal of optimization theory and applications
75 (1992), S. 281-295
ISSN:
1573-2878
Keywords:
Nonlinear complementarity problems
;
variational inequality problems
;
pseudo-monotone mappings
;
monotone mappings
;
weakly coercive mappings
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract In this paper, some existence results for a nonlinear complementarity problem involving a pseudo-monotone mapping over an arbitrary closed convex cone in a real Hilbert space are established. In particular, some known existence results for a nonlinear complementarity problem in a finite-dimensional Hilbert space are generalized to an infinite-dimensional real Hilbert space. Applications to a class of nonlinear complementarity problems and the study of the post-critical equilibrium state of a thin elastic plate subjected to unilateral conditions are given.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00941468
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