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Notes on the difference of two monotone operators

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Abstract

In this note, we present some results on maximality of the difference of two monotone operators. It is shown that, for two multifunctions S and T from X to X *, maximal monotonicity of S and monotonicity of both T and S−T imply maximal monotonicity of S−T.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Basic Sciences, University of Mazandaran, Babolsar, 47416-1468, Iran

    M. Alimohammady & M. Ramazannejad

  2. Department of Mathematics, Faculty of Sciences, Golestan University, P.O.Box. 155, Gorgan, Iran

    M. Roohi

Authors
  1. M. Alimohammady
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  2. M. Ramazannejad
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  3. M. Roohi
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Correspondence to M. Roohi.

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Alimohammady, M., Ramazannejad, M. & Roohi, M. Notes on the difference of two monotone operators. Optim Lett 8, 81–84 (2014). https://doi.org/10.1007/s11590-012-0537-x

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  • DOI: https://doi.org/10.1007/s11590-012-0537-x

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