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Generalized strongly nonlinear quasi-complementarity problems

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Abstract

Using the algorithm in this paper, we prove the existence of solutions to the generalized strongly nonlinear quasi-complementarity problems and the convergence of the iterative sequences generated by the algorithm. Our results improve and extend the corresponding results of Noor and Chang-Huang. Moreover, a more general iterative algorithm for finding the approximate solution of generalized strongly nonlinear quasicomplementarity problems is also given. It is shown that the approximate solution obtained by the iterative scheme converges to the exact solution of this quasi-complementarity problem.

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Authors and Affiliations

  1. Sichuan Normal University, Chengdu

    Li Hong-mei & Ding Xie-ping

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  1. Li Hong-mei
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  2. Ding Xie-ping
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Project supported by the National Natural Science Foundation of China

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Li, Hm., Ding, Xp. Generalized strongly nonlinear quasi-complementarity problems. Appl Math Mech 15, 307–315 (1994). https://doi.org/10.1007/BF02463708

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  • DOI: https://doi.org/10.1007/BF02463708

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