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Split General Strong Nonlinear Quasi-Variational Inequality Problem

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  • Yali Zhao
  • Dongxue Han

Abstract

We introduce a split general strong nonlinear quasi-variational inequality problem which is a natural extension of a split general quasi-variational inequality problem, split variational inequality problem, and quasi-variational and variational inequality problems in Hilbert spaces. Using the projection method, we propose an iterative algorithm for the split general strongly nonlinear quasi-variational inequality problem and discuss the convergence criteria of the iterative algorithm. The results presented here generalized, unify, and improve many previously known results for quasi-variational and variational inequality problems.

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  • Yali Zhao & Dongxue Han, 2016. "Split General Strong Nonlinear Quasi-Variational Inequality Problem," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-6, November.
    • Handle: RePEc:hin:jnlmpe:5937016
    DOI: 10.1155/2016/5937016
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