Hadamard Well-posedness for a Family of Mixed Variational Inequalities and Inclusion Problems
Subject Areas : International Journal of Industrial Mathematicsالهام خاکراه 1 , عبدالرحمان رازانی 2 , مرتضی اویسیها 3
1 - Department of Mathematics, Imam Khomeini International University, Qazvin, Iran.
2 - Department of Mathematics, Imam Khomeini International University, Qazvin, Iran.
3 - Department of Mathematics, Imam Khomeini International University, Qazvin, Iran.
Keywords: Monotonicity, Approximating sequence, Mixed variational inequality, Parametric well-posedness,
Abstract :
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.
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