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Convergence and stability of the three-step iterative schemes for a class of general quasivariational-like inequalities

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  • Zeqing Liu
  • Zhefu An
  • Shin Min Kang
  • Jeong Sheok Ume

Abstract

We introduce and study a class of general quasivariational-like inequalities in Hilbert spaces, suggest two general algorithms, and establish the existence and uniqueness of solutions for these kinds of inequalities. Under certain conditions, we discuss convergence and stability of the three-step iterative sequences generated by the algorithms.

Suggested Citation

  • Zeqing Liu & Zhefu An & Shin Min Kang & Jeong Sheok Ume, 2004. "Convergence and stability of the three-step iterative schemes for a class of general quasivariational-like inequalities," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2004, pages 1-9, January.
    • Handle: RePEc:hin:jijmms:804351
    DOI: 10.1155/S0161171204404426
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