Iterative algorithm for completely generalized set-valued strongly nonlinear mixed variational-like inequalities

Lu Chuan Zeng, Sy Ming Guu, Jen Chih Yao

Research output: Contribution to journalJournal Article peer-review

19 Scopus citations

Abstract

A class of completely generalized set-valued strongly nonlinear mixed variational-likeinequalities is introduced. The auxiliary principle technique is extended to study this new class of mixed variational-like inequalities. The existence of a solution of the auxiliary problem for this new class of mixed variational-like inequalities is shown. The iterative algorithm for this new class of mixed variational-like inequalities is given by virtue of this existence result. Moreover, the existence of a solution of this new class of mixed variational-like inequalities and the strong convergence of iterative sequences generated by the algorithm are shown. The convergence criteria are different from some early and recent ones presented in the literature.

Original languageEnglish
Pages (from-to)935-945
Number of pages11
JournalComputers and Mathematics with Applications
Volume50
Issue number5-6
DOIs
StatePublished - 09 2005
Externally publishedYes

Keywords

  • Auxiliary principle technique
  • Iterative algorithm
  • Mixed variational-like inequality
  • Set-valued mapping

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