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G.N. Ogwo, T.O. Alakoya, O.T. Mewomo, An inertial forward-backward method with self-adaptive step sizes for finding minimum-norm solutions of inclusion and split equilibrium problems

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DOI: 10.23952/asvao.4.2022.2.04
Volume 4, Issue 2, 1 August 2022, Pages 185-206

 

Abstract. In this paper, the problem of finding a common solution of variational inclusion and split equilibrium problems is studied. A modified inertial forward-backward splitting algorithm with self-adaptive step sizes is introduced for solving the problem, and the strong convergence of the algorithm is established in Hilbert spaces. Applications and examples are provided to support our main results.

 

How to Cite this Article:
G.N. Ogwo, T.O. Alakoya, O.T. Mewomo, An inertial forward-backward method with self-adaptive step sizes for finding minimum-norm solutions of inclusion and split equilibrium problems, Appl. Set-Valued Anal. Optim. 4 (2022), 185-206.