On the Monotone Mappings in CAT(0) Spaces
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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.
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Journal title
volume 17 issue 2
pages 107- 117
publication date 2020-06-01
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