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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Ambiguous loci of the nearest point mapping in Banach spaces
F. S. De Blasi,Józef Myjak +1 more
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On stability of approximate solutions of minimization problems
P. Shunmugaraj,D. V. Pai +1 more
TL;DR: In this article, the stability of the optimal value function and the set of approximate solutions of constrained minimization problems under various perturbations of the objective function and constraint set is investigated.
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Levitin-Polyak well-posedness of generalized vector quasi-equilibrium problems with functional constraints
TL;DR: Several types of Levitin-Polyak well-posedness for a generalized vector quasi-equilibrium problem with functional constraints and abstract set constraints are introduced.
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Genericity of Well-Posedness, Perturbations and Smooth Variational Principles
TL;DR: In this paper, the authors show that three important topics in nonlinear analysis and optimization are intimately related: the theory of perturbations, the notion of well-posedness and variational principles in the sense of Ekeland, Borwein-Preiss and Deville-Godefroy-Zizler.
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Characterizations of Levitin–Polyak well-posedness by perturbations for the split variational inequality problem
Rong Hu,Ya-Ping Fang +1 more
TL;DR: In this paper, the weak generalized Levitinpolyak well-posedness by perturbations is shown to be equivalent to the nonemptiness and boundedness of the solution set of the problem.
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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.