A NEW ALGORITHM FOR MONOTONE INCLUSION PROBLEMS AND FIXED POINTS ON HADAMARD MANIFOLDS WITH APPLICATIONS  

作　　者：Shih-sen CHANG Jinfang TANG Chingfeng WEN 张石生;唐金芳;温庆丰(Center for General Education,China Medical University,Taichung 40402,Taiwan,China;Department of Mathematics,Yibin University,Yibin 644007,China;Department of Medical Research,Kaohsiung Medical University Hospital,Kaohsiung 80708,Taiwan,China)

机构地区：[1]Center for General Education,China Medical University,Taichung 40402,Taiwan,China [2]Department of Mathematics,Yibin University,Yibin 644007,China [3]Department of Medical Research,Kaohsiung Medical University Hospital,Kaohsiung 80708,Taiwan,China

出　　处：《Acta Mathematica Scientia》2021年第4期1250-1262,共13页数学物理学报（B辑英文版）

基　　金：This study was supported by the Natural Science Foundation of China Medical University,Taiwan;This work was also supported by Scientific Research Fund of SiChuan Provincial Education Department(14ZA0272).

摘　　要：In this article,we propose a new algorithm and prove that the sequence generalized by the algorithm converges strongly to a common element of the set of fixed points for a quasi-pseudo-contractive mapping and a demi-contraction mapping and the set of zeros of monotone inclusion problems on Hadamard manifolds.As applications,we use our results to study the minimization problems and equilibrium problems in Hadamard manifolds.

关 键 词：Monotone inclusion problem quasi-pseudo-contractive mapping demi-contraction mapping maximal monotone vector field quasi-nonexpansive mappings Hadamard manifold 

分 类 号：O177.91[理学—数学]