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On the Equivalence of Extended Generalized Complementarity and Generalized Least-Element Problems

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Abstract

In this paper, we derive some equivalences of generalized nonlinear programs, generalized least-element problems, and extended generalized complementarity problems under certain regularity and growth conditions. We also generalize the notion of a Z-map for point-to-set maps. Our results extend recent results by Schaible and Yao (Ref. 1).

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Authors and Affiliations

  1. Department of Mathematics, Aligarh Muslim University, Aligarh, India;

    Q. H. Ansari (Reader)

  2. National Sun Yat-sen University, Kaohsiung, Taiwan, ROC

    Q. H. Ansari (Reader)

  3. College of Management, National Taiwan University, Taipai, Taiwan, ROC

    T. C. Lai (Professor)

  4. Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, Taiwan, ROC

    J. C. Yao (Professor)

Authors
  1. Q. H. Ansari
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  2. T. C. Lai
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  3. J. C. Yao
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Ansari, Q.H., Lai, T.C. & Yao, J.C. On the Equivalence of Extended Generalized Complementarity and Generalized Least-Element Problems. Journal of Optimization Theory and Applications 102, 277–288 (1999). https://doi.org/10.1023/A:1021724306242

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  • DOI: https://doi.org/10.1023/A:1021724306242

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