Results 1 to 10 of about 48 (43)
Metric characterizations for well-posedness of split hemivariational inequalities [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we generalize the concept of well-posedness to a class of split hemivariational inequalities. By imposing very mild assumptions on involved operators, we establish some metric characterizations of the well-posedness for the split ...
Qiao-yuan Shu, Rong Hu, Yi-bin Xiao
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On hemicontinuity of bifunctions for solving equilibrium problems
Advances in Nonlinear Analysis, 2014 This paper deals with solving equilibrium problems under local conditions on equilibrium bifunctions. Some techniques first considered for multivalued mixed variational inequalities are investigated and applied to equilibrium problems.
Alleche Boualem
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Demicontinuity and hemicontinuity in Fréchet space [PDF]
Proceedings of the American Mathematical Society, 1973 It is proved that the notions of demicontinuity and hemicontinuity for monotone maps from a Fréchet space into its dual are equivalent, thus generalizing a result of T. Kato.
D. Klim, K. Włodarczyk
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Well Posedness of New Optimization Problems with Variational Inequality Constraints
Fractal and Fractional, 2021 In this paper, we studied the well posedness for a new class of optimization problems with variational inequality constraints involving second-order partial derivatives.
Savin Treanţă
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On Some Variational Inequalities Involving Second-Order Partial Derivatives
Fractal and Fractional, 2022 By using the monotonicity, hemicontinuity, and pseudomonotonicity of the considered integral functionals, we studied the well-posedness of some variational inequality problems governed by partial derivatives of the second-order. To this aim, we introduce
Savin Treanţă +2 more
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Well-Posedness Results of Certain Variational Inequalities
Mathematics, 2022 Well-posedness and generalized well-posedness results are examined for a class of commanded variational inequality problems. In this regard, by using the concepts of hemicontinuity, monotonicity, and pseudomonotonicity of the considered functional, and ...
Savin Treanţă
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On Well-Posedness of Some Constrained Variational Problems
Mathematics, 2021 By considering the new forms of the notions of lower semicontinuity, pseudomonotonicity, hemicontinuity and monotonicity of the considered scalar multiple integral functional, in this paper we study the well-posedness of a new class of variational ...
Savin Treanţă
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Fixed Point Theory and Applications, 2005 Let E be a real Hausdorff topological vector space. In the present paper, the concepts of the transfer positive hemicontinuity and strictly transfer positive hemicontinuity of set-valued maps in E are introduced (condition of strictly transfer positive ...
D. Klim, K. Włodarczyk
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Nearly Contraction Mapping Principle for Fixed Points of Hemicontinuous Mappings [PDF]
ISRN Applied Mathematics, 2013 We extend the application of nearly contraction mapping principle introduced by Sahu (2005) for existence of fixed points of demicontinuous mappings to certain hemicontinuous nearly Lipschitzian nonlinear mappings in Banach spaces. We have applied certain results due to Sahu (2005) to obtain conditions for existence—and to introduce an asymptotic ...
Udo-utun, Xavier +2 more
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On some variational inequality-constrained control problems
Journal of Inequalities and Applications, 2022 In this paper, by considering some properties associated with scalar functionals of multiple-integral type, we study the well-posedness and generalized well-posedness for a new variational inequality-constrained optimization problems By using the set of ...
Savin Treanţă +2 more
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