Modified inertial subgradient extragradient method in reflexive Banach spaces

Modified inertial subgradient extragradient method in reflexive Banach spaces

In this paper, we study a modified inertial subgradient extragradient algorithm in reflexive Banach spaces and prove a strong convergence theorem for approximating common solutions of a fixed point equation of a demigeneralized mapping and a variational inequality problem of a monotone and Lipschitz...

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Veröffentlicht in:Boletín de la Sociedad Matemática Mexicana 2021-03, Vol.27 (1), Article 30
Hauptverfasser: Ali, Bashir, Ugwunnadi, G. C., Lawan, M. S., Khan, A. R.
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Banach spaces
Fixed points (mathematics)
Mapping
Mathematics
Mathematics and Statistics
Original Article
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Zusammenfassung:In this paper, we study a modified inertial subgradient extragradient algorithm in reflexive Banach spaces and prove a strong convergence theorem for approximating common solutions of a fixed point equation of a demigeneralized mapping and a variational inequality problem of a monotone and Lipschitz mapping. Our result extends and improves important recent results announced by many authors.
ISSN:1405-213X
2296-4495
DOI:10.1007/s40590-021-00332-4