%0 Journal Article
%T On the Monotone Mappings in CAT(0) Spaces
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Afkhami Taba, Davood
%A Dehghan, Hossein
%D 2020
%\ 06/01/2020
%V 17
%N 2
%P 107-117
%! On the Monotone Mappings in CAT(0) Spaces
%K Monotone mapping
%K Nonexpansive mapping
%K Variational inequality
%K Fixed point
%K CAT(0) metric space
%R 10.22130/scma.2019.69719.273
%X In this paper, we first introduce a monotone mapping and its resolvent in general metric spaces.Then, we give two new iterative methodsĀ by combining the resolvent method with Halpern's iterative method and viscosity approximation method forĀ finding a fixed point of monotone mappings and a solution of variational inequalities. We prove convergence theorems of the proposed iterationsĀ in CAT(0) metric spaces.
%U https://scma.maragheh.ac.ir/article_37414_68347178e93bdca436046052192cf88e.pdf