• Speaker: Dr Matthew Tam, University of Göttingen
  • Title: Forward-Backward Splitting Without Cocoercivity
  • Location: Room MCTH100, McMullin Theatre (Callaghan Campus) The University of Newcastle
  • Time and Date: 2:00 pm, Thu, 4th Oct 2018
  • Abstract:

    In this talk, I will discuss a simple modification of the forward-backward splitting method for finding a zero in the sum of two monotone operators. This modified method converges under the same assumptions as Tseng's forward-backward-forward method, namely, it does not require cocoercivity of the single-valued operator but rather only Lipschitz continuity. Each of iteration of the method only requires one forward evaluation rather than two as is the case in Tseng's method. Variants incorporating a linesearch, an inertial term, or a structured three operator inclusion will also be discussed. Based on joint work with Yura Malitsky (University of Göttingen).

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