Convergence analysis of variational inequality and fixed point problems for pseudo-contractive mapping with Lipschitz assumption

Yıl 2019, Cilt: 2 Sayı: 3, 102 - 112, 01.10.2019

Caifen Zhang Jinzuo Chen

Öz

In this paper, we consider and study variational inequality and fixed point problems for pseudo-contractive mapping. It is proven that the sequences generated by the proposed iterative algorithm converge strongly to the common solution of the variational inequality and fixed point problems. A numerical example illustrates the theoretical result.

Anahtar Kelimeler

variational inequality problem, fixed point problem, extra-gradient method, pseudo-contractive mapping, strong convergence

Destekleyen Kurum

Lingnan Normal University

Proje Numarası

1171518004,2018A0303070012,2017KQNCX125

Teşekkür

This work was supported by the Key Subject Program of Lingnan Normal University (1171518004), the Natural Science Foundation of Guangdong Province (2018A0303070012) and the Young Innovative Talents Project in Guangdong Universities (2017KQNCX125).

Kaynakça

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