Xiaoxiao Li, Qiao-Li Dong, Aviv Gibali, PMiCA – Parallel multi-step inertial contracting algorithm for solving common variational inclusions, Vol. 2022 (2022), Article ID 7, pp. 1-12

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DOI: 10.23952/jnfa.2022.7

Received December 29, 2021; Accepted February 22, 2022; Published March 15, 2022

 

Abstract Our study is focused on a common variational inclusion problem in real Hilbert spaces. A parallel inertial algorithm for solving the inclusion problem is proposed and analysed. Our new convergence theorem has several theoretical advantages over some related works in the literature, and primary numerical experiments illustrate the practical potential of our iterative algorithm.

 

How to Cite this Article:
X. Li, Q.L. Dong, A. Gibali, PMiCA – Parallel multi-step inertial contracting algorithm for solving common variational inclusions, J. Nonlinear Funct. Anal. 2022 (2022) 7.