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

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Results in Nonlinear Analysis
Volume:1 Issue:2
The Delta-convergence of proximal point iteration based on the variational inequality in CAT(0) Spac...

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

Authors : Yue ZHANG, Dingping WU

Pages : 65-73

View : 20 | Download : 7

Publication Date : 2018-08-31

Article Type : Research Paper

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 Delta-convergence to a fixed point of the nonexpansive mapping.
Keywords : Mann type, Ishikawa type, variational inequality, nonexpansive mapping, Hadamard spaces, inexact, Delta convergence

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