The ∆−convergence of proximal point iteration based on the variational inequality in CAT(0) Spaces


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Authors

  • Yue Zhanga
  • Dingping Wua

Keywords:

Mann-type, Ishikawa-type, variational inequality, nonexpansive mapping, Hadamard spaces, inexact, ∆−convergence.

Abstract

In this paper, we build the inexact proximal point algorithm of Mann-type and Ishikawa-type iteration based on the variational inequality in Hadamard spaces and prove ∆−convergence to a fixed point of the nonexpansive mapping.

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Published

2022-11-07

How to Cite

Yue Zhanga, & Dingping Wua. (2022). The ∆−convergence of proximal point iteration based on the variational inequality in CAT(0) Spaces. Results in Nonlinear Analysis, 1(2), 65–73. Retrieved from https://nonlinear-analysis.com/index.php/pub/article/view/11