TITLE:
An Iterative Method for Split Variational Inclusion Problem and Split Fixed Point Problem for Averaged Mappings
AUTHORS:
Kaiwen Wang, Yali Zhao, Ziru Zhao
KEYWORDS:
Split Variational Inclusion Problem, Split Fixed Point Problem, Iterative Algorithm, Averaged Mapping, Convergence
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.11 No.6,
June
12,
2023
ABSTRACT: In this paper, we use resolvent operator technology to construct a viscosity approximate algorithm to approximate a common solution of split variational inclusion problem and split fixed point problem for an averaged mapping in real Hilbert spaces. Further, we prove that the sequences generated by the proposed iterative method converge strongly to a common solution of split variational inclusion problem and split fixed point problem for averaged mappings which is also the unique solution of the variational inequality problem. The results presented here improve and extend the corresponding results in this area.