On the Monotone Mappings in CAT(0) Spaces

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Afkhami Taba Davood; Dehghan Hossein

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Journal Paper

Paper Information

Journal: SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS (SCMA) Year:2020 | Volume:17 | Issue:2 Page(s): 107-117

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Information Journal Paper

Title

On the Monotone Mappings in CAT(0) Spaces

Author(s)

Afkhami Taba Davood | Dehghan Hossein | Issue Writer Certificate

Keywords

Monotone mapping

Nonexpansive mapping

Variational inequality

Fixed point

CAT(0) metric space

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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