Strong convergence theorems for common attractive points of widely more generalized hybrid mappings in hilbert spaces

Abstract

In this paper, using generalized Ishikawa iteration defined by Das and Debata [1] and Takahashi and Tamura [17], we prove a strong convergence theorem for common attractive points of two widely more generalized hybrid mappings in Hilbert spaces without assuming the closedness of the domain. Furthermore, we apply our main result to some fixed point theorems. Finally, we complete this paper by proposing an open problem dealing with attractive point's result studied by Lau and Zhang [12].