System of Set-Valued Mixed Quasi-Variational-Like Inclusions Involving <em>H</em>-eta-Monotone Operators in Banach Spaces

DING Xie-ping; WANG Zhong-bao

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Article Navigation > Applied Mathematics and Mechanics > 2009 > 30(1): 1-14

DING Xie-ping, WANG Zhong-bao. System of Set-Valued Mixed Quasi-Variational-Like Inclusions Involving H-eta-Monotone Operators in Banach Spaces[J]. Applied Mathematics and Mechanics, 2009, 30(1): 1-14.

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System of Set-Valued Mixed Quasi-Variational-Like Inclusions Involving H-eta-Monotone Operators in Banach Spaces

College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, P. R. China

Received Date: 2008-08-18
Rev Recd Date: 2008-12-02
Publish Date: 2009-01-15

Abstract

Abstract

A new system of set-valued mixed quasi-variational-like inclusions (SSMQVLI) involving H-eta-monotone operators is introduced and studied in general Banach spaces without uniform smoothness. By using the resolvent operator technique of H-eta-monotone operators, a new iterative algorithm for finding the approximation solutions of the SSMQVLI was suggested and analyzed. It was also proved that the iterative sequences generated by the algorithm converge strongly to the exact solution of the SSMQVLI under suitable assumptions. These results are new, and extend and improve the corresponding results in this field.
- H-eta-monotone operators,
- resolvent operator technique,
- system of set-valued mixed quasi-variational-like inclusions,
- iterative algorithm,
- Banach spaces

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References(36)

References

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