Journal of Optimization Theory and Applications

, Volume 127, Issue 2, pp 285–302 | Cite as

Existence of Solutions and an Algorithm for Mixed Variational-Like Inequalities in Banach Spaces

  • X. P. Ding
Article

Abstract

In this paper, we study the class of mixed variational-like inequalities in reflexive Banach spaces. By applying a minimax inequality due to the author, some existence and uniqueness theorems for solutions of mixed variational-like inequalities are proved. Next, by applying the auxiliary problem technique, we suggest an innovative iterative algorithm to compute approximate solutions of the mixed variational-like inequality. Finally, convergence criteria are also discussed.

Keywords

Mixed variational-like inequalities minimax inequalities auxiliary variational inequalities iterative algorithms reflexive Banach spaces 
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Copyright information

© Springer Science+Business Media, inc. 2005

Authors and Affiliations

  • X. P. Ding
    • 1
  1. 1.College of Mathematics and Software ScienceSichuan Normal UniversityChengduP. R. China

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