A Self-Adaptive Extragradient Algorithm for Solving Quasimonotone Variational Inequalities | Zendy

Li-Jun Zhu | Zendy; Tzu-Chien Yin | Zendy

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A Self-Adaptive Extragradient Algorithm for Solving Quasimonotone Variational Inequalities

Author(s) -

Li-Jun Zhu,

Tzu-Chien Yin

Publication year - 2022

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.579

H-Index - 28

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2022/9447175

Subject(s) - mathematics , variational inequality , hilbert space , operator (biology) , inequality , iterative method , algorithm , space (punctuation) , mathematical analysis , computer science , biochemistry , chemistry , repressor , transcription factor , gene , operating system

This article aims to research iterative schemes for searching a solution of a quasimonotone variational inequality in a Hilbert space. For solving this quasimonotone variational inequality, we propose an iterative procedure which combines a self-adaptive rule and the extragradient algorithm. We demonstrate that the procedure weakly converges to the solution of the investigated quasimonotone variational inequality provided the considered operator satisfies several additional conditions.

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