Viscosity approximations with contractions in Hadamard spaces

• Main Authors: Jia-Qian LIU, 劉家騫
• Other Authors: Shue-Chin Huang
• Format: Others
• Published: 2016
• Online Access: http://ndltd.ncl.edu.tw/handle/83306164480387552879

碩士 === 國立東華大學 === 應用數學系 === 104 === In this thesis, I study Moudafi viscosity approximations from the paper [S. Huang, Viscosity approximations with weak contractions in geodesic metric spaces of nonpositive curvature, Journal of Nonlinear and Convex Analysis, 2016] under the supervision of my advisor, Professor Shuechin Huang. We first establish the results about Browder and Halpern type convergence theorems and then extend those results to Moudafi viscosity approximations by invoking NST conditions in a CAT(0) space. We also use matlab to plot the graphs of some examples over main theorems in the Euclidean space.