TY - JOUR A2 - Gopal, Dhananjay AU - Xiong, Ting-jian AU - Lan, Heng-you PY - 2018 DA - 2018/07/02 TI - Strong Convergence of New Two-Step Viscosity Iterative Approximation Methods for Set-Valued Nonexpansive Mappings in Spaces SP - 1280241 VL - 2018 AB - This paper is for the purpose of introducing and studying a class of new two-step viscosity iteration approximation methods for finding fixed points of set-valued nonexpansive mappings in CAT(0) spaces. By means of some properties and characteristic to CAT(0) space and using Cauchy-Schwarz inequality and Xu’s inequality, strong convergence theorems of the new two-step viscosity iterative process for set-valued nonexpansive and contraction operators in complete CAT(0) spaces are provided. The results of this paper improve and extend the corresponding main theorems in the literature. SN - 2314-8896 UR - https://doi.org/10.1155/2018/1280241 DO - 10.1155/2018/1280241 JF - Journal of Function Spaces PB - Hindawi KW - ER -