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Solution behavior for parametric implicit complementarity problems

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Abstract

In this paper we study the solution behavior for a special class of quasi-variational inequalities, namely implicit complementarity problems. We derive conditions under which the perturbed solution of a parametric implicit complementarity problem is locally unique, continuous and Fréchet differentiable.

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Authors and Affiliations

  1. Department of Decision Sciences and Information Systems, College of Business Administration, Florida International University, 33199, Miami, FL, USA

    Jerzy Kyparisis

  2. Department of Industrial Engineering, College of Engineering, University of Miami, 33124, Coral Gables, FL, USA

    Chi-Ming Ip

Authors
  1. Jerzy Kyparisis
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  2. Chi-Ming Ip
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Kyparisis, J., Ip, CM. Solution behavior for parametric implicit complementarity problems. Mathematical Programming 56, 65–70 (1992). https://doi.org/10.1007/BF01580894

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  • DOI: https://doi.org/10.1007/BF01580894

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