System of set-valued mixed quasi-variational-like inclusions involving H-η-monotone operators in Banach spaces

System of set-valued mixed quasi-variational-like inclusions involving H-η-monotone operators in Banach spaces

A new system of the set-valued mixed quasi-variational-like inclusions (SSMQVLI) involving H-η -monotone operators is studied in general Banach spaces without uniform smoothness. By using the resolvent operator technique of H-η -monotone operators, a new iterative algorithm for finding approximate s...

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Veröffentlicht in:Applied mathematics and mechanics 2009, Vol.30 (1), p.1-12
Hauptverfasser: Ding, Xie-ping, Wang, Zhong-bao
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Sprache:eng
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Applications of Mathematics
Classical Mechanics
Fluid- and Aerodynamics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Partial Differential Equations
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description A new system of the set-valued mixed quasi-variational-like inclusions (SSMQVLI) involving H-η -monotone operators is studied in general Banach spaces without uniform smoothness. By using the resolvent operator technique of H-η -monotone operators, a new iterative algorithm for finding approximate solutions to SSMQVLI is proposed. It is shown that the iterative sequences generated by the algorithm converge strongly to the exact solution of SSMQVLI under appropriate assumptions. These obtained new results have extended and improved previous results.
doi_str_mv 10.1007/s10483-009-0101-z
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subjects Applications of Mathematics
Classical Mechanics
Fluid- and Aerodynamics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Partial Differential Equations
title System of set-valued mixed quasi-variational-like inclusions involving H-η-monotone operators in Banach spaces
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