Proximal algorithms for a class of mixed equilibrium problems

HIGHLIGHTS

• who: Yisheng Song et al. from the College of Mathematics and, PRChina have published the Article: Proximal algorithms for a class of mixed equilibrium problems, in the Journal: (JOURNAL)
• what: Proof At first, the authors show that {xn } and {un } are bounded. Since x*=PMEP(F,ϕ) u, then by_(.), the authors have lim sup u - x*, un - x*=lim u - x*, unk - x*=u - x*, x - x* ≤ . k→∞ n→∞ Now, the authors show that xn → x* (n → ∞). The authors show a weak convergence theorem which solves the MEP (.) in a Hilbert space. Next, the authors . . .
  

   

  

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