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On general infinite dimensional complementarity problems

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Abstract

The aim of this paper is to present a way to study directly generalized complementarity problems in normed spaces. By means of new results on infinite dimensional Lagrange theory we show some optimality conditions which reduce the study of the problems to the one of suitable systems of equalities and inequalities.

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Authors and Affiliations

  1. Department of Mathematics and Computer Sciences, University of Catania, Viale A. Doria, 6, 95125, Catania, Italy

    Antonino Maugeri & Fabio Raciti

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  1. Antonino Maugeri
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  2. Fabio Raciti
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Correspondence to Antonino Maugeri.

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Maugeri, A., Raciti, F. On general infinite dimensional complementarity problems. Optimization Letters 2, 71–90 (2008). https://doi.org/10.1007/s11590-007-0044-7

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  • DOI: https://doi.org/10.1007/s11590-007-0044-7

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