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On Bregman-Type Distances and Their Associated Projection Mappings

Author

Listed:
  • Juan Enrique Martínez-Legaz

    (Universitat Autònoma de Barcelona
    Barcelona Graduate School of Mathematics (BGSMath))

  • Maryam Tamadoni Jahromi

    (Yasouj University)

  • Eskandar Naraghirad

    (Yasouj University)

Abstract

We investigate convergence properties of Bregman distances induced by convex representations of maximally monotone operators. We also introduce and study the projection mappings associated with such distances.

Suggested Citation

  • Juan Enrique Martínez-Legaz & Maryam Tamadoni Jahromi & Eskandar Naraghirad, 2022. "On Bregman-Type Distances and Their Associated Projection Mappings," Journal of Optimization Theory and Applications, Springer, vol. 193(1), pages 107-117, June.
    • Handle: RePEc:spr:joptap:v:193:y:2022:i:1:d:10.1007_s10957-021-01970-4
    DOI: 10.1007/s10957-021-01970-4
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    References listed on IDEAS

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    1. Y. Alber & D. Butnariu, 1997. "Convergence of Bregman Projection Methods for Solving Consistent Convex Feasibility Problems in Reflexive Banach Spaces," Journal of Optimization Theory and Applications, Springer, vol. 92(1), pages 33-61, January.
    2. Liqun Qi, 1983. "Complete Closedness of Maximal Monotone Operators," Mathematics of Operations Research, INFORMS, vol. 8(2), pages 315-317, May.
    Full references (including those not matched with items on IDEAS)

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