Volume 6, Issue 2
Fixed Point Methods for the Complementarity Problem

P. K. Subramanian

J. Comp. Math., 6 (1988), pp. 121-130

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  • Abstract

This paper is concerned with iterative procedures for the monotone complementarity problem. Our iterative methods consist of finding fixed points of appropriate continnous maps. In the case of the linear complementaryity problem, it is shown that the problem is solvable if and only if the sequence of iterates is bounded in which case summability methods are used to find a solution of the problem. This procedure is then used to find a solution of the nonlinear complementarity problem satisfying certain regularity conditions for which the problem has a nonempty bounded solution set.

  • History

Published online: 1988-06

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