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Iterative approximation of a solution of a general variational-like inclusion in Banach spaces

Author

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  • C. E. Chidume
  • K. R. Kazmi
  • H. Zegeye

Abstract

We introduce a class of η -accretive mappings in a real Banach space and show that the η -proximal point mapping for η - m -accretive mapping is Lipschitz continuous. Further, we develop an iterative algorithm for a class of general variational-like inclusions involving η -accretive mappings in real Banach space, and discuss its convergence criteria. The class of η -accretive mappings includes several important classes of operators that have been studied by various authors.

Suggested Citation

  • C. E. Chidume & K. R. Kazmi & H. Zegeye, 2004. "Iterative approximation of a solution of a general variational-like inclusion in Banach spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2004, pages 1-10, January.
    • Handle: RePEc:hin:jijmms:563278
    DOI: 10.1155/S0161171204209395
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    Cited by:

    1. Shamshad Husain & Sanjeev Gupta & Vishnu Narayan Mishra, 2013. "Generalized -Cocoercive Operators and Generalized Set-Valued Variational-Like Inclusions," Journal of Mathematics, Hindawi, vol. 2013, pages 1-10, June.

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