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Inertial proximal algorithm for difference of two maximal monotone operators

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  • M. Alimohammady

    (University of Mazandaran)

  • M. Ramazannejad

    (University of Mazandaran)

Abstract

In this note, a new algorithm is presented for finding a zero of difference of two maximal monotone operators T and S, i.e., T — S in finite dimensional real Hilbert space H in which operator S has local boundedness property. This condition is weaker than Moudafi’s condition on operator S in [13]. Moreover, applying some conditions on inertia term in new algorithm, one can improve speed of convergence of sequence.

Suggested Citation

  • M. Alimohammady & M. Ramazannejad, 2016. "Inertial proximal algorithm for difference of two maximal monotone operators," Indian Journal of Pure and Applied Mathematics, Springer, vol. 47(1), pages 1-8, March.
    • Handle: RePEc:spr:indpam:v:47:y:2016:i:1:d:10.1007_s13226-015-0162-3
    DOI: 10.1007/s13226-015-0162-3
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    References listed on IDEAS

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    1. S. Huda & Rahul Mukerjee, 2010. "Minimax second-order designs over cuboidal regions for the difference between two estimated responses," Indian Journal of Pure and Applied Mathematics, Springer, vol. 41(1), pages 303-312, February.
    2. Le An & Pham Tao, 2005. "The DC (Difference of Convex Functions) Programming and DCA Revisited with DC Models of Real World Nonconvex Optimization Problems," Annals of Operations Research, Springer, vol. 133(1), pages 23-46, January.
    3. Deng Lei & Li Shenghong, 2000. "Ishikawa iteration process with errors for nonexpansive mappings in uniformly convex Banach spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 24, pages 1-5, January.
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    Cited by:

    1. João S. Andrade & Jurandir de O. Lopes & João Carlos de O. Souza, 2023. "An inertial proximal point method for difference of maximal monotone vector fields in Hadamard manifolds," Journal of Global Optimization, Springer, vol. 85(4), pages 941-968, April.

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