Share Your Research, Maximize Your Social Impacts
On the Monotone Mappings in CAT(0) Spaces
Journal: Sahand Communications in Mathematical Analysis (Vol.17, No. 2)Publication Date: 2020-06-01
Authors : Davood Afkhami Taba; Hossein Dehghan;
Page : 107-117
Keywords : Monotone mapping; Nonexpansive mapping; Variational inequality; Fixed point; CAT(0) metric space;
Source : Download Find it from : Google Scholar
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.
Other Latest Articles
- Common Fixed Point Results on Complex-Valued $S$-Metric Spaces
- Vector Optimization Problems and Generalized Vector Variational-Like Inequalities
- Some Results on the Field of Values of Matrix Polynomials
- Some Fixed Point Theorems in Generalized Metric Spaces Endowed with Vector-valued Metrics and Application in Linear and Nonlinear Matrix Equations
- Fixed Point Theorems on Complete Quasi Metric Spaces Via C-class and A-Class Functions
Last modified: 2020-06-16 17:03:39