Algorithms for Approximating Solutions of Split Variational Inclusion and Fixed-Point Problems

Li-Jun Zhu and Yonghong Yao ()
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Li-Jun Zhu: The Key Laboratory of Intelligent Information and Big Data Processing of Ningxia, North Minzu University, Yinchuan 750021, China
Yonghong Yao: School of Mathematical Sciences, Tiangong University, Tianjin 300387, China

Mathematics, 2023, vol. 11, issue 3, 1-12

Abstract: In this paper, the split fixed point and variational inclusion problem is considered. With the help of fixed point technique, Tseng-type splitting method and self-adaptive rule, an iterative algorithm is proposed for solving this split problem in which the involved operators S and T are demicontractive operators and g is plain monotone. Strong convergence theorem is proved under some mild conditions.

Keywords: split problem; fixed point; variational inclusion; demicontractive operator; monotone operator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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