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Iterative Method for Set-Valued Mixed Quasi-variational Inequalities in a Banach Space

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Abstract

This paper introduces an iterative method for finding approximate solutions of a set-valued mixed quasivariational inequality in the setting of a Banach space. Existence of a solution of this rather general problem and the convergence of the proposed iterative method to a solution are established.

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Author information

Authors and Affiliations

  1. A. G. Anderson Graduate School of Management, University of California, Riverside, California, USA

    S. Schaible (Professor)

  2. Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, Taiwan

    J. C. Yao (Professor)

  3. Department of Mathematics, Shanghai Normal University, Shanghai, China

    L. C. Zeng (Professor)

Authors
  1. S. Schaible
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  2. J. C. Yao
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  3. L. C. Zeng
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Additional information

The first two authors were partially supported by the National Science Council of the Republic of China. The third author was partially supported by the Teaching and Research Award Fund for Outstanding Young Teachers in Higher Education Institutions of MOE, China and by the Dawn Program Foundation in Shanghai

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Schaible, S., Yao, J.C. & Zeng, L.C. Iterative Method for Set-Valued Mixed Quasi-variational Inequalities in a Banach Space. J Optim Theory Appl 129, 425–436 (2006). https://doi.org/10.1007/s10957-006-9077-9

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  • DOI: https://doi.org/10.1007/s10957-006-9077-9

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