A weak convergence theorem involving the zero point of quasi-inverse strongly monotone operators with application
Yantao YANG1(),Jingjing CHEN1,Haiyun ZHOU2
1.College of Mathematics and Computer Science，Yanan University，Yanan 716000，Shaanxi Province，China 2.College of Mathematics and Information，Hebei Normal University，Shijiazhuang 050024，China
In this paper,the classical steepest descent method has been used to construct the zeros of a class of Lipschitz continuous and quasi-inverse strongly monotone operators.Under very mild conditions,a weak convergence theorem is established.Applying our weak convergence theorem to the split common fixed point problem,some new results are deduced which improve the recent known results in literature.
Received: 28 August 2020
Published: 18 January 2022
Yantao YANG,Jingjing CHEN,Haiyun ZHOU. A weak convergence theorem involving the zero point of quasi-inverse strongly monotone operators with application. Journal of Zhejiang University (Science Edition), 2022, 49(1): 49-52.
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