Hadamard Well-posedness for a Family of Mixed Variational Inequalities and Inclusion Problems
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.
Well-Posedness for a Class of Strongly Mixed Variational-Hemivariational Inequalities with Perturbations
In this paper, the concept of well-posedness for a minimization problem is extended to develop the concept of well-posedness for a class of strongly mixed variationalhemivariational inequalities with perturbations which includes as a special case the class of variational-hemivariational inequalities with perturbations. We establish some metric characterizations for the well-posed strongly mixed...متن کامل
We generalize the concept of well-posedness by perturbations for optimization problem to a class of variational-hemivariational inequalities. We establish some metric characterizations of the well-posedness by perturbations for the variational-hemivariational inequality and prove their equivalence between the well-posedness by perturbations for the variational-hemivariational inequality and the...متن کامل
In this note we consider some notions of well-posedness for scalar and vector variational inequalities and we recall their connections with optimization problems. Subsequently, we investigate similar connections between well-posedness of a vector optimization problem and a related variational inequality problem and we present a result obtained with scalar characterizations of vector optimality ...متن کامل
and Applied Analysis 3 It is worth noting that if α 0, then the definitions of α-well-posedness, αwell-posedness in the generalized sense, L-α-well-posedness, and L-α-well-posedness in the generalized sense for MQVLI , respectively, reduce to those of the well-posedness, well-posedness in the generalized sense, L-well-posedness, and L-well-posedness in the generalized sense for MQVLI in 20 . We...متن کامل
We consider an extension of the notion of well-posedness by perturbations, introduced by Zolezzi 1995, 1996 for a minimization problem, to a class of generalized mixed variational inequalities in Banach spaces, which includes as a special case the class of mixed variational inequalities. We establish some metric characterizations of the well-posedness by perturbations. On the other hand, it is ...متن کامل
In this paper, we introduce the concepts of extended well-posedness for quasivariational inequalities and establish some characterizations. We show that the extended well-posedness is equivalent to the existence and uniqueness of solutions under suitable conditions. In addition, the corresponding concepts of extended well-posedness in the generalized sense are introduced and investigated for qu...متن کامل
دوره 13 شماره 1
صفحات 43- 52
تاریخ انتشار 2021-09-01
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