journal6 ›› 2004, Vol. 25 ›› Issue (1): 29-31.

• Doctoral Forum • Previous Articles     Next Articles

The Solvability of Abstract Equation Involving the Maximal Monotone Operator


  1. ( College of Mathematics and Statistics, Hebei University of Economics & Business, Shijiazhuang 050091,Hebei China)
  • Online:2004-03-15 Published:2012-11-06

Abstract: Let X be a real reflexive, strictly convex Banach space with its dual space X* being uniformly convex,T be a maximal monotone operator from D( T ) ??X to X
*, and C a continuous and bounded mapping from D( T ) ?? X toX* .Used by Leray- Schauder??s topology degree theory in nonlinear analysis, some new results are given to study the existence of solution of the operator equation ( T + C) x= f involving the maximal monotone operator T with the perturbation
C in an abstract space X .

Key words: monotone operator, compact mapping, duality mapping

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