Ishikawa Iterations for Equilibrium and Fixed Point Problems for Nonexpansive Mappings in Hilbert Spaces

نویسندگان

  • FILOMENA CIANCIARUSO
  • GIUSEPPE MARINO
  • LUIGI MUGLIA
چکیده

In this paper, we introduce an iterative scheme Ishikawa-type for finding a common element of the set EP (G) of the equilibrium points of a bifunction G and the set Fix(T ) of fixed points of a nonexpansive mapping T in a Hilbert space H. We prove that the method converges strongly to an element z ∈ Fix(T ) T EP (G) which is the unique solution of the variational inequality 〈(A− γf)z, x− z〉 ≥ 0 for every x ∈ Fix(T ) ∩ EP (G). The results presented here are situated on the line of research of [5, 6, 7, 10, 12, 13].

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تاریخ انتشار 2008