Iterative Algorithms for New General Systems of Set-Valued Variational Inclusions Involving (A, η)-Maximal Relaxed Monotone Operators

作者：Xiong, Ting-jian; Lan, Heng-you^*

来源：Journal of Applied Mathematics, 2014, 2014: 698593.

DOI：10.1155/2014/698593

• PROJECTION METHODS
• HILBERT-SPACES
• INEQUALITIES
• MAPPINGS

We introduce and study a class of new general systems of set-valued variational inclusions involving (A,eta)-maximal relaxed monotone operators in Hilbert spaces. By using the general resolvent operator technique associated with (A,eta)-maximal relaxed monotone operators, we construct some new iterative algorithms for finding approximation solutions to the general system of set-valued variational inclusion problem and prove the convergence of this algorithm. Our results improve and extend some known results.

• 单位
  四川轻化工大学