Modified inertial subgradient extragradient method in reflexive Banach spaces

Bashir Ali; G. C. Ugwunnadi; M. S. Lawan; A. R. Khan

doi:10.1007/s40590-021-00332-4

Modified inertial subgradient extragradient method in reflexive Banach spaces

Bashir Ali
, G. C. Ugwunnadi^*
, M. S. Lawan
, A. R. Khan

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

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.

Original language	English
Article number	30
Journal	Boletin de la Sociedad Matematica Mexicana
Volume	27
Issue number	1
DOIs	https://doi.org/10.1007/s40590-021-00332-4
Publication status	Published - Mar 2021
Externally published	Yes

Keywords

Bregman Demigeneralized map
Bregman distance
Fixed point
Monotone map
Subgradient extragradient method

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10.1007/s40590-021-00332-4

Cite this

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abstract = "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.",

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AU - Ali, Bashir

AU - Ugwunnadi, G. C.

AU - Lawan, M. S.

AU - Khan, A. R.

PY - 2021/3

Y1 - 2021/3

N2 - 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.

AB - 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.

KW - Bregman Demigeneralized map

KW - Bregman distance

KW - Fixed point

KW - Monotone map

KW - Subgradient extragradient method

UR - https://www.scopus.com/pages/publications/85101887910

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DO - 10.1007/s40590-021-00332-4

M3 - Article

AN - SCOPUS:85101887910

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IS - 1

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ER -

Modified inertial subgradient extragradient method in reflexive Banach spaces

Abstract

Keywords

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