Applied Mathematics and Mechanics

, Volume 15, Issue 8, pp 703–711 | Cite as

On the partially ordered methods in the study of implicit variational inequalities

  • Zhang Shi-sheng
  • Rao Ling


By using the partially ordered methods, the existence problem of solutions for more general implicit variational inequalities of monotone type in Hausdorff topological linear spaces are considered. As application we utilize the results presented in this paper to study the existence of solutions for Nash equilibrium problem and the semi-linear elliptic differential equations.

Key words

implicit variational inequality T-monotone mapping strictlyT-monotone mapping Nash equilibrium problem 


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Copyright information

© SUT 1994

Authors and Affiliations

  • Zhang Shi-sheng
    • 1
  • Rao Ling
    • 1
  1. 1.Department of MathematicsSichuan UniversityChengdu

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