Convergence Theorems on Asymptotically Pseudocontractive Mappings in the Intermediate Sense

نویسندگان

  • Xiaolong Qin
  • Sun Young Cho
  • Jong Kyu Kim
  • Tomonari Suzuki
چکیده

Throughout this paper, we always assume thatH is a real Hilbert space, whose inner product and norm are denoted by 〈·, ·〉 and ‖ · ‖. The symbols → and ⇀ are denoted by strong convergence and weak convergence, respectively. ωw xn {x : ∃xni ⇀ x} denotes the weak w-limit set of {xn}. Let C be a nonempty closed and convex subset of H and T : C → C a mapping. In this paper, we denote the fixed point set of T by F T . Recall that T is said to be nonexpansive if

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تاریخ انتشار 2010