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

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

Kaynakça

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