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
Levitin---Polyak well-posedness of constrained vector optimization problems
X. X. Huang,Xiaoqi Yang +1 more
TL;DR: This paper introduces several types of (generalized) Levitin–Polyak well-posednesses, and considers convergence of a class of penalty methods under the assumption of a type of generalized LevitIn– PolyakWell-posedness.
Journal ArticleDOI
Well-posedness for vector quasiequilibria
TL;DR: In this paper, the authors consider well-posedness under perturbations of vector quasiequilibrium and bilevel-equilibrium problems, and propose several new semicontinuity and quasiconvexity notions to weaken the imposed assumptions.
Journal ArticleDOI
Well-Posedness by Perturbations of Variational Problems
TL;DR: In this paper, the notion of well-posedness by perturbations was extended to other related variational problems like inclusion problems and fixed-point problems, and conditions under which there is equivalence of the wellposedness in the above sense between different problems were studied.
Book ChapterDOI
Well Posedness, Towards Vector Optimization
TL;DR: In this article, a tentative definition of well-posedness for vector optimization problems is given, based on the ordinal character of the property, starting from Patrone 1987, and some comments about the Nash equilibrium problem are made.
Journal ArticleDOI
Conditioning convex and nonconvex problems
TL;DR: In this paper, two ways of defining a well-conditioned minimization problem are introduced and related, with emphasis on the quantitative aspects, and applied to continuity properties of subdifferentials and to projection mappings.
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.