Modified Tseng's extragradient methods for solving pseudo-monotone variational inequalities

By Duong Viet Thong, Phan Tu Vuong. Optimization, 2019

67 citations recorded by the source corpus.

ABSTRACT We propose two modified Tseng's extragradient methods (also known as Forward–Backward–Forward methods) for solving non-Lipschitzian and pseudo-monotone variational inequalities in real Hilbert spaces. Under mild and standard conditions, we obtain the weak and strong convergence of the proposed methods. Numerical examples for illustrating the behaviour of the proposed methods are also presented

Subfields: Computational Theory and Mathematics, Mathematical Physics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/d0194b98a1971cb8bbc4a793909dd2ff40fc7e4e

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In Computational Theory and Mathematics

1. Chinedu Izuchukwu
2. Grace Nnennaya Ogwo
3. Oluwatosin Temitope Mewomo

In Mathematical Physics

1. Chinedu Izuchukwu
2. Grace Nnennaya Ogwo
3. Oluwatosin Temitope Mewomo

In Numerical Analysis

1. Chinedu Izuchukwu
2. Grace Nnennaya Ogwo
3. Oluwatosin Temitope Mewomo

Citations in the corpus

• An inertial method for solving generalized split feasibility problems over the solution set of monotone variational inclusions (2020, methodology): “Thus, our results improve and generalize the result of Tian and Jiang [16] and other recent important results in this direction (for example, [1,7,13,15,23,46,47,57]).”