Yonggang Pei, Yanyan Chen, Shaofang Song, A novel accelerated algorithm for solving split variational inclusion problems and fixed point problems, Vol. 2023 (2023), Article ID 19, pp. 1-14

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DOI: 10.23952/jnfa.2023.19

Received November 6, 2022; Accepted February 28, 2023; Published May 15, 2023

 

Abstract. Motivated by the Tseng’s extragradient method and the Moudafi’s viscosity method, a new hybrid inertial accelerated algorithm with the line search technique is proposed for solving fixed point problems of demimetric mappings and split variational inclusion problems. A strong convergence theorem is established under some mild conditions. Our proof is different with from those presented in the literatures. In addition, numerical results are reported to support the main results.

 

How to Cite this Article:
Y. Pei, Y. Chen, S. Song, A novel accelerated algorithm for solving split variational inclusion problems and fixed point problems, J. Nonlinear Funct. Anal. 2023 (2023) 19.