Published in: مجله تحریریهی آنالیز ریاضی سهند، دوره: 17، شماره: 2
COI code: JR_SCMA-17-2_007
Paper Language: English
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Authors On the Monotone Mappings in CAT(0) SpacesDavood 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
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
COI code: JR_SCMA-17-2_007
how to cite to this paper:If you want to refer to this article in your research, you can easily use the following in the resources and references section:
Afkhami Taba, Davood & Hossein Dehghan, 2020, On the Monotone Mappings in CAT(0) Spaces, Sahand Communications in Mathematical Analysis 17 (2), https://www.civilica.com/Paper-JR_SCMA-JR_SCMA-17-2_007.htmlInside 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)
Second and more: (Afkhami Taba & Dehghan, 2020)
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