Split common null point problem for generalized monotone operators

被引:0
|
作者
Eslamian, Mohammad [1 ]
机构
[1] Univ Sci & Technol Mazandaran, Dept Math, Behshahr, Iran
关键词
Comonotone operator; conically non-expansive mappings; split common null point problem; inertial algorithm; PROXIMAL METHODS; ALGORITHMS; CONVERGENCE;
D O I
10.1080/02331934.2024.2371048
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
In this article, we present some properties of the resolvent of maximally comonotone (generalized monotone) operators in Hilbert spaces. Also, we study the split common null point problem for a finite family of maximally comonotone operators in Hilbert spaces. For solving this split common null point problem, we propose an inertial algorithm with the step size independent on the prior estimate of the norm of the bounded linear operators and prove strong convergence theorem for this inertial algorithm. The obtained result of this article complements many recent results in this direction.
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页数:17
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