TY - JOUR AU - Jaiboon, Chaichana AU - Plubtieng, Somyot AU - Katchang, Phayap PY - 2018 TI - The generalized viscosity implicit rule of nonexpansive semigroup in Banach spaces JO - Journal of Nonlinear Sciences and Applications SP - 746--761 VL - 11 IS - 6 AB - In this research, we focus on a common fixed point problem of a nonexpansive semigroup with the generalized viscosity methods for implicit iterative algorithms. Our main objective is to construct the new strong convergence theorems under certain appropriate conditions in uniformly convex and uniformly smooth Banach spaces. Specifically, the main results make a contribution to the implicit midpoint theorems. The findings for theorems in Hilbert spaces and the other forms of a nonexpansive semigroup can be used in several practical purposes. Finally, a numerical example in 3 dimensions is provided to support our main results. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.011.06.02 DO - 10.22436/jnsa.011.06.02 ID - Jaiboon2018 ER -