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On Algorithms for Difference of Monotone Operators

In: Mathematical Analysis and Applications

Author

Listed:
  • Maede Ramazannejad

    (Islamic Azad University)

  • Mohsen Alimohammady

    (University of Mazandaran)

  • Carlo Cattani

    (University of Tuscia)

Abstract

This review proposes a proximal algorithm for difference of two monotone operators in finite dimensional real Hilbert space. Our route begins with reviewing some properties of DC (difference of convex functions) programming and DCA (DC algorithms). Next, we recall some main results about a proximal point algorithm for DC programming.

Suggested Citation

  • Maede Ramazannejad & Mohsen Alimohammady & Carlo Cattani, 2019. "On Algorithms for Difference of Monotone Operators," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Panos M. Pardalos (ed.), Mathematical Analysis and Applications, pages 459-479, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-31339-5_17
    DOI: 10.1007/978-3-030-31339-5_17
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