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On the convergence of solutions to an incomplete Cauchy problem governed by a quasi-convex function and a quasi-nonexpansive operator

  • Rahim Qazi,
  • Mohsen Rahimi Piranfar,
  • Hadi Khatibzadeh

摘要

We consider an incomplete Cauchy problem governed by a quasi-convex potential and a quasi-nonexpansive nonpotential effect. We state and prove several results on the weak and strong convergence of solutions to this problem with the Lipschitz continuity condition. Discrete-time counterparts of these results are investigated as well.