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An inertial method for solving split equality quasimonotone Minty variational inequality problems in reflexive Banach spaces.

Authors :
Belay, Yirga A.
Zegeye, Habtu
Boikanyo, Oganeditse A.
Gidey, Hagos H.
Kagiso, Dintle
Source :
Rendiconti del Circolo Matematico di Palermo (Series 2); Aug2024, Vol. 73 Issue 5, p2037-2067, 31p
Publication Year :
2024

Abstract

In this paper, we introduce the split equality Minty variational inequality problem in reflexive real Banach spaces. Then we construct a single projection inertial algorithm for solving the introduced problem. We establish a strong convergence result with the assumption that the mappings under consideration are Lipschitz continuous and quasimonotone. We give some specific applications of the main result and finally provide a numerical example to demonstrate the workability of our method. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0009725X
Volume :
73
Issue :
5
Database :
Complementary Index
Journal :
Rendiconti del Circolo Matematico di Palermo (Series 2)
Publication Type :
Academic Journal
Accession number :
178621608
Full Text :
https://doi.org/10.1007/s12215-024-01025-3