On the Monotone Mappings in CAT(0) Spaces

نویسندگان

  • 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
چکیده مقاله:

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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عنوان ژورنال

دوره 17  شماره 2

صفحات  107- 117

تاریخ انتشار 2020-06-01

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