Iterative methods for nonlinear quasi complementarity problems

Muhammad Aslam Noor

International Journal of Mathematics and Mathematical Sciences, 1987, vol. 10, 1-6

Abstract:

In this paper, we consider and study an iterative algorithm for finding the approximate solution of the nonlinear quasi complementarity problem of finding u ϵ k ( u ) such that T u ϵ k * ( u ) and ( u − m ( u ) , T u ) = 0 where m is a point-to-point mapping, T is a (nonlinear) continuous mapping from a real Hilbert space H into itself and k * ( u ) is the polar cone of the convex cone k ( u ) in H . We also discuss the convergence criteria and several special cases, which can be obtained from our main results.

Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:786464

DOI: 10.1155/S0161171287000401

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