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Modified inertial extragradient algorithm with non-monotonic step sizes for pseudomonotone equilibrium problems and quasi-nonexpansive mapping.
- Source :
-
Carpathian Journal of Mathematics . 2024, Vol. 40 Issue 2, p363-380. 18p. - Publication Year :
- 2024
-
Abstract
- In this paper, we introduce a modified inertial extragradient algorithm with non-monotonic step sizes for approximating a common solution of the pseudomonotone equilibrium problem and the fixed point problem for the quasi-nonexpansive mapping in the framework of a real Hilbert space. Under some constraint qualifications of the scalar sequences, the strong convergence theorem of the introduced algorithm is presented by using the self-adaptive non-monotonic step size without prior information about the Lipschitz constants of bifunction. Some numerical experiments are provided to demonstrate the computational efficiency and advantages of the proposed algorithm. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MONOTONE operators
*HILBERT space
*ALGORITHMS
*EQUILIBRIUM
Subjects
Details
- Language :
- English
- ISSN :
- 15842851
- Volume :
- 40
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Carpathian Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 176288746
- Full Text :
- https://doi.org/10.37193/CJM.2024.02.09