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Existence and relaxation of solutions for evolution differential inclusions with maximal monotone operators

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Abstract

In this paper, we consider evolution problems involving time-dependent maximal monotone operators in Hilbert spaces. Existence and relaxation theorems are proved.

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Acknowledgements

The authors thank professor M.D.P. Monteiro Marques for some interesting discussions on the subject, and a referee for his valuable remarks and suggestions he proposed, which helped to improve the paper.

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Authors and Affiliations

  1. LAOTI, Université Mohammed Seddik Benyahia-Jijel, Jijel, Algeria

    Amira Makhlouf & Dalila Azzam-Laouir

  2. IMAG, Université Montpellier, CNRS, Montpellier Cedex 5, France

    Charles Castaing

Authors
  1. Amira Makhlouf
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  2. Dalila Azzam-Laouir
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  3. Charles Castaing
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Correspondence to Dalila Azzam-Laouir.

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Makhlouf, A., Azzam-Laouir, D. & Castaing, C. Existence and relaxation of solutions for evolution differential inclusions with maximal monotone operators . J. Fixed Point Theory Appl. 23, 13 (2021). https://doi.org/10.1007/s11784-021-00849-1

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