Results 31 to 40 of about 15,615,826 (78)
Well‐Posedness by Perturbations for Variational‐Hemivariational Inequalities
Journal of Applied Mathematics, Volume 2012, Issue 1, 2012., 2012 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 ...
Shu Lv +4 more
wiley +1 more source
Generic well‐posedness in minimization problems
Abstract and Applied Analysis, Volume 2005, Issue 4, Page 343-360, 2005., 2005 The goal of this paper is to provide an overview of results concerning, roughly speaking, the following issue: given a (topologized) class of minimum problems, “how many” of them are well‐posed? We will consider several ways to define the concept of “how many,” and also several types of well‐posedness concepts.
A. Ioffe, R. E. Lucchetti
wiley +1 more source
Well-Posedness of Minimization Problems in Contact Mechanics
, 2021 We consider an abstract minimization problem in reflexive Banach spaces together with a specific family of approximating sets, constructed by perturbing the cost functional and the set of constraints.
Mircea Sofonea +3 more
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Pointwise well-posedness in set optimization with cone proper sets
, 2012 This paper deals with the well-posedness property in the setting of set optimization problems. By using a notion of well-posed set optimization problem and a scalarization process, we characterize this property through the wellposedness, in the ...
MOLHO, ELENA +3 more
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, 2006 Abstract and Applied Analysis, Volume 2006, Issue 1, 2006.
Dan Butnariu, Elena Resmerita
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On well-posedness in vector optimization [PDF]
, 2010 The purpose of this work is to give an overview on the world of the vector well-posed optimization problems, according to the scalar notion by Tykhonov, in a finite dimensional setting, mainly under convexity or generalized convexity assumptions and ...
PAPALIA, Melania
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Well-posedness and stability for abstract spline problems
, 2007 In this work well-posedness and stability properties of the abstract spline problem are studied in the framework of reflexive spaces. Tykhonov well-posedness is proved without restrictive assumptions. In the context of Hilbert spaces, also the stronger
MOLHO, ELENA +2 more
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Well-posed Vector Optimization Problems and Vector Variational Inequalities [PDF]
In this paper we introduce notions of well-posedness for a vector optimization problem and for a vector variational inequality of differential type, we study their basic properties and we establish the links among them.
Rocca Matteo
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Well-posedness in vector optimization and scalarization results [PDF]
In this paper, we give a survey on well-posedness notions of Tykhonov's type for vector optimization problems and the links between them with respect to the classification proposed by Miglierina, Molho and Rocca in [33].
Rocca Matteo, Papalia Melania
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Well-posedness and scalarization in vector optimization [PDF]
In this paper we study several existing notions of well-posedness for vector optimization problems. We distinguish them into two classes and we establish the hierarchical structure of their relationships.
Rocca Matteo +2 more
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