The iterative solution for a class of monotone operator equations

  • Xiao Jin-sheng
  • Lei Jin-gan


The iterative solution for a class of multivalued monotone operator equations just likeA(u)∈−B(u) is discussed, whereA is a positive definite linear single-valued operator,B is a bounded and monotone multivalued operator. The existence and convergence of approximate solutions are proved. The method of numerical realization is demonstrated in some examples.

Key words

multivalued operator monotone operator iterative solution 

CLC number

O175. 3 O241.82 

Document code


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Copyright information

© Springer 1999

Authors and Affiliations

  • Xiao Jin-sheng
    • 1
  • Lei Jin-gan
    • 1
  1. 1.College of Mathematical SciencesWuhan UniversityWuhanChina

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