1. A hybrid inertial and contraction proximal point algorithm for monotone variational inclusions.
- Author
-
Dey, Soumitra
- Subjects
SET-valued maps ,DIFFERENTIAL inclusions ,HILBERT space ,ALGORITHMS ,VARIATIONAL inequalities (Mathematics) ,LIPSCHITZ continuity - Abstract
In this paper, we introduce a new class of hybrid inertial and contraction proximal point algorithm for the variational inclusion problem of the sum of two mappings in Hilbert spaces. We prove that the proposed algorithm converges strongly to a solution of the variational inclusion problem whenever its solution set is nonempty and the single-valued mapping f is Lipschitz continuous, monotone, and the set-valued mapping A is maximal monotone in infinite-dimensional real Hilbert spaces. Our work generalize and extend some related existing results in the literature. Finally, we illustrate the numerical performance of our Algorithm 1 and we give an application to the split feasibility problem. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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