Hadamard Well-posedness for a Family of Mixed Variational Inequalities and Inclusion Problems
محورهای موضوعی : مجله بین المللی ریاضیات صنعتی
E. Khakrah
1
(
Department of Mathematics, Imam Khomeini International University, Qazvin, Iran.
)
A. Razani
2
(
Department of Mathematics, Imam Khomeini International University, Qazvin, Iran.
)
M. Oveisiha
3
(
Department of Mathematics, Imam Khomeini International University, Qazvin, Iran.
)
کلید واژه: Monotonicity, Approximating sequence, Mixed variational inequality, Parametric well-posedness,
چکیده مقاله :
In this paper, the concepts of well-posednesses and Hadamard well-posedness for a family of mixed variational inequalities are studied. Also, some metric characterizations of them are presented and some relations between well-posedness and Hadamard well-posedness of a family of mixed variational inequalities is studied. Finally, a relation between well-posedness for the family of mixed variational inequalities and well-posedness for a family of inclusion problems is discussed.
در این مقاله، مفاهیم خوش وضعی و خوش وضعی هادامارد برای خانواده ای از نابرابری های تغییراتی آمیخته مطالعه می شوند. برخی مشخص سازی های متریکی از خوش وضعی ارائه می گردد. همچنین رابطه ای بین خوش وضعی و خوش وضعی هادامارد خانواده ای از نابرابری های تغییراتی آمیخته مطالعه می شود. در پایان، رابطه بین خوش وضعی برای خانواده نابرابری های تغییراتی آمیخته و خوش وضعی برای خانواده مسائل شمول مورد بحث قرار می گیرد.
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