Acta mathematica scientia,Series B ›› 2001, Vol. 21 ›› Issue (2): 152-158.

• Articles • Previous Articles     Next Articles

AN ITERATIVE ALGORITHM FOR MAXIMAL MONOTONE MULTIVALUED OPERATOR EQUATIONS

 XIAO Jin-Sheng, SUN Le-Lin   

  1. School of Mathematics &|Computers, Wuhan University, Wuhan 430072, China
  • Online:2001-04-07 Published:2001-04-07
  • Supported by:

    Supported by the National Natural Science Foundation of China

Abstract:

A proximal iterative algorithm for the mulitivalue operator equation 0 2 T(x) is presented, where T is a maximal monotone operator. It is an improvement of the proximal point algorithm as well know. The convergence of the algorithm is discussed and an example is given.

Key words: Iterative algorithm, maximal monotone operator, multivalued operator

CLC Number: 

  • 47H04
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