Existence and Sensitivity Analysis of Solutions for a System of Parametric General Nonlinear Variational Inequalities


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Authors

  • Yan Hao School of Mathematics and System Science, Shenyang Normal University, Shenyang, Liaoning Province, People's Republic of China
  • Hongyan Guan School of Mathematics and System Science, Shenyang Normal University, Shenyang, Liaoning Province, People's Republic of China

Keywords:

The system of parametric general nonlinear variational inequalities, existence, sensitivity analysis

Abstract

In this paper, we introduce and study a new class of system of parametric general nonlinear variational inequalities. Using the resolvent operator in Hilbert spaces, we establish the equivalence between the system of parametric general nonlinear variational inequalities and a fixed point problem. This equivalence is used to investigate the existence and uniqueness and sensitivity analysis of solutions for the system of parametric general nonlinear variational inequalities.

 

 

Author Biographies

Yan Hao, School of Mathematics and System Science, Shenyang Normal University, Shenyang, Liaoning Province, People's Republic of China

 

 

Hongyan Guan, School of Mathematics and System Science, Shenyang Normal University, Shenyang, Liaoning Province, People's Republic of China

 

 

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Published

15-03-2016

How to Cite

Yan Hao, & Hongyan Guan. (2016). Existence and Sensitivity Analysis of Solutions for a System of Parametric General Nonlinear Variational Inequalities. International Journal of Mathematics And Its Applications, 4(1 - D), 189–194. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/629

Issue

Vol. 4 No. 1 - D (2016)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.