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

Autor: Belay, Yirga A., Zegeye, Habtu, Boikanyo, Oganeditse A., Gidey, Hagos H., Kagiso, Dintle
Zdroj: Rendiconti del Circolo Matematico di Palermo (Series 2); Aug2024, Vol. 73 Issue 5, p2037-2067, 31p
Abstrakt: 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]
Databáze: Complementary Index
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