carpathian_2023_39_1_325_334_001

A novel approach for solving simultaneously one-parameter nonexpansive semigroup, convex minimization and fixed point problems involving set-valued operators


Sow, T. M. M., Diene, Aminata Diop and  Djitte, N.


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carpathian_2023_39_1_325_334

In this paper, we introduce a new iterative process for solving simultaneously one-parameter nonexpansive semigroup, convex minimization and fixed point problems involving set-valued operators in real Hilbert spaces and establish strong convergence theorems for the proposed iterative process. There is no compactness assumption. Our results improve important recent results.