@article { author = {Afkhami Taba, Davood and Dehghan, Hossein}, title = {On the Monotone Mappings in CAT(0) Spaces}, journal = {Sahand Communications in Mathematical Analysis}, volume = {17}, number = {2}, pages = {107-117}, year = {2020}, publisher = {University of Maragheh}, issn = {2322-5807}, eissn = {2423-3900}, doi = {10.22130/scma.2019.69719.273}, abstract = {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.}, keywords = {Monotone mapping,Nonexpansive mapping,Variational inequality,Fixed point,CAT(0) metric space}, url = {https://scma.maragheh.ac.ir/article_37414.html}, eprint = {https://scma.maragheh.ac.ir/article_37414_68347178e93bdca436046052192cf88e.pdf} }