Fixed Point Methods for the Complementarity Problem

Fixed Point Methods for the Complementarity Problem

Year:    1988

Journal of Computational Mathematics, Vol. 6 (1988), Iss. 2 : pp. 121–130

Abstract

This paper is concerned with iterative procedures for the monotone complementarity problem. Our iterative methods consist of finding fixed points of appropriate continuous maps. In the case of the linear complementarity 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1988-JCM-9504

Journal of Computational Mathematics, Vol. 6 (1988), Iss. 2 : pp. 121–130

Published online:    1988-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords: