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On the Monotone Mappings in CAT(0) Spaces

Credit to Download: 1 | Page Numbers 11 | Abstract Views: 23
Year: 2020
COI code: JR_SCMA-17-2_007
Paper Language: English

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Authors On the Monotone Mappings in CAT(0) Spaces

Davood Afkhami Taba - Department of Mathematics, Bandar Abbas Branch, Islamic Azad University, P.O.Box 79158-93144, Bandar Abbas, Iran.
  Hossein Dehghan - Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Gava Zang, P.O.Box 45137-66731, Zanjan, Iran


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.


Monotone mapping, Nonexpansive mapping, Variational inequality, Fixed point, CAT(0) metric space

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COI code: JR_SCMA-17-2_007

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Afkhami Taba, Davood & Hossein Dehghan, 2020, On the Monotone Mappings in CAT(0) Spaces, Sahand Communications in Mathematical Analysis 17 (2), the text, wherever referred to or an achievement of this article is mentioned, after mentioning the article, inside the parental, the following specifications are written.
First Time: (Afkhami Taba, Davood & Hossein Dehghan, 2020)
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