Vol. 25(2024) No. 2

 

 

  Modified splitting algorithms for approximating solutions of split variational inclusions in Hilbert spaces
 
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Fixed Point Theory, Volume 25, No. 2, 2024, 773-784, June 15th, 2024

DOI: 10.24193/fpt-ro.2024.2.21

Authors: Li-Jun Zhu and Yonghong Yao

Abstract: The purpose of this paper is to explore the split variational inclusion problem in Hilbert spaces. A splitting algorithm is constructed for solving the split variational inclusion with the help of self-adaptive techniques. Convergence analysis of the proposed algorithm is provided under additional conditions.

Key Words and Phrases: Split variational inclusion, monotone operator, splitting method, resolvent.

2010 Mathematics Subject Classification: 47J25, 47H10, 65K10, 65K15, 90C99.

Published on-line: June 15th, 2024.

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