Journal ArticleDOI
About well-posed optimization problems for functionals in metric spaces
Massimo Furi,Alfonso Vignoli +1 more
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A necessary and sufficient condition of correctness of extremal problems for lower semicontinuous functionals defined in metric spaces is given in this paper, which is a necessary condition for extremal problem correctness.Abstract:
A necessary and sufficient condition of correctness of extremal problems for lower semicontinuous functionals defined in metric spaces is given.read more
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Journal ArticleDOI
Scalarization of Levitin–Polyak well-posed set optimization problems
TL;DR: In this paper, the authors studied the Levitin-polyak well-posedness for set optimization problems and defined the global notions of metrically well-setness and metric LP well setness, and the pointwise notions of LP wellposedness, strongly DH-wellposedness and strongly B-well-posedeness for set optimisation problems.
Book ChapterDOI
Various Aspects of Well-Posedness of Optimization Problems
TL;DR: In this paper, the different notions of well-posedness of a given optimization problem can be divided into two groups based on the behaviour of a prescribed class of sequences of approximate solutions and the continuous dependence of the (necessarily existing) solution on the data of the problem.
Journal ArticleDOI
Pointwise well-posedness and scalarization in set optimization
TL;DR: Using a new nonlinear scalarization function, pointwise well-posed set optimization problems are characterized by means of a family of Tykhonov well-posing scalar optimization problems.
Book ChapterDOI
Generic Well-Posedness of Optimization Problems and the Banach-Mazur Game
P. S. Kenderov,J. P. Revalski +1 more
TL;DR: In this paper, the authors consider the problem of finding the minimum solution of a continuous real-valued function in a regular topological space, where the family of all bounded continuous realvalued functions in the space becomes a Banach space.
Journal ArticleDOI
Levitin–Polyak Well-Posedness of Vector Variational Inequality Problems with Functional Constraints
X. X. Huang,Xiaoqi Yang +1 more
TL;DR: In this article, the authors introduce several types of generalized Levitin-Polyak well-posednesses for a vector variational inequality problem with both abstract and functional constraints, and various criteria and characterizations for these types of wellposednesses are given.
References
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Journal Article
Punti uniti in trasformazioni a codominio non compatto
TL;DR: In this article, the conditions générales d'utilisation (http://www.numdam.unipd.org/legal. php) of the agreement with the Rendiconti del Seminario Matematico della Università di Padova are discussed.
Journal Article
Un teorema di esistenza per le equazioni differenziali negli spazi di Banach
TL;DR: In this paper, the conditions générales d'utilisation (http://www.numdam.math.unipd.org/conditions) of the agreement with the Rendiconti del Seminario Matematico della Università di Padova are discussed.