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Positivity

, Volume 23, Issue 4, pp 1009–1020 | Cite as

On the convergence of sequence of maximal monotone operators of type (D) in Banach spaces

  • S. R. PattanaikEmail author
  • D. K. Pradhan
Article
  • 81 Downloads

Abstract

Within the setting of general real Banach spaces, we prove that the sequence of maximal monotone operators of type (D) graphically converges provided, their corresponding class of representative functions converge epigraphically. Moreover, we provide a condition to guarantee that the lower limit of a sequence of maximal monotone operators of type (D) is a maximal monotone operator of type (D) in real Banach spaces.

Keywords

Maximal monotone operator Monotone operator of type (D) Representative function Epi-convergence 

Mathematics Subject Classification

47H05 49J52 47N10 

Notes

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Authors and Affiliations

  1. 1.Department of MathematicsNIT RourkelaRourkelaIndia

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