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The Nonzero Solutions and Multiple Solutions for a Class of Bilinear Variational Inequalities

Abstract

Some existence theorems of nonzero solutions and multiple solutions for a class of bilinear variational inequalities are studied in reflexive Banach spaces by fixed point index approach. The results presented in this paper improve and extend some known results in the literature.

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Correspondence to Jianhua Huang.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Huang, J. The Nonzero Solutions and Multiple Solutions for a Class of Bilinear Variational Inequalities. J Inequal Appl 2007, 094808 (2007). https://doi.org/10.1155/2007/94808

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Keywords

  • Banach Space
  • Variational Inequality
  • Existence Theorem
  • Multiple Solution
  • Point Index