Title of article :
On the Monotone Mappings in CAT(0) Spaces
Author/Authors :
Afkhami Taba ، Davood Department of Mathematics - Islamic Azad University, Bandar Abbas Branch , Dehghan ، Hossein Department of Mathematics - Institute for Advanced Studies in Basic Sciences (IASBS)
Abstract :
In this paper, we first introduce a monotone mapping and its resolvent in general metric spaces.Then, we give two new iterative methods by combining the resolvent method with Halpern’s iterative method and viscosity approximation method for finding a fixed point of monotone mappings and a solution of variational inequalities. We prove convergence theorems of the proposed iterations in CAT(0) metric spaces.
Keywords :
Monotone mapping , Nonexpansive mapping , Variational inequality , Fixed point , CAT(0) metric space
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis
