Linear Convergence of Split Equality Common Null Point Problem with Application to Optimization Problem

Yaqian Jiang, Rudong Chen and Luoyi Shi
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Yaqian Jiang: School of Mathematical Sciences, Tiangong University, Tianjin 300392, China
Rudong Chen: School of Mathematical Sciences, Tiangong University, Tianjin 300392, China
Luoyi Shi: School of Mathematical Sciences, Tiangong University, Tianjin 300392, China

Mathematics, 2020, vol. 8, issue 10, 1-12

Abstract: The purpose of this paper is to propose an iterative algorithm for solving the split equality common null point problem (SECNP), which is to find an element of the set of common zero points for a finite family of maximal monotone operators in Hilbert spaces. We introduce the concept of bounded linear regularity for the SECNP and construct several sufficient conditions to ensure the linear convergence of the algorithm. Moreover, some numerical experiments are given to test the validity of our results.

Keywords: split equality problem; split equality common null point problem; bounded linear regularity; linear convergence; split equality optimization problem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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