Iterative algorithms for multi-valued inclusions with Z mappings

  • Authors:

  • Igor V. Konnov

  • Affiliations:

  • Department of System Analysis and Information Technologies, Kazan University, ul. Kremlevskaya, 18, Kazan 420008, Russian Federation

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2007

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Abstract

We consider a problem of solution of a multi-valued inclusion with Z-type mapping on a cone segment and propose extensions of Jacobi algorithms to find its solution. A modified double iteration process yields both upper and lower solutions. Some examples of applications are also described.