Temat: arcwise connectedness - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Set-valued minimax fractional programming problems under -cone arcwise connectedness
Autorzy:: Das, Koushik
Powiązania:: https://bibliotekanauki.pl/articles/2183488.pdf
Data publikacji:: 2022
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: convex cone
set-valued map
contingent epiderivative
arcwise connectedness
duality
Opis:: In this paper, we consider a set-valued minimax fractional programming problem (MFP), where the objective as well as constraint maps are set-valued. We introduce the notion of ρ- cone arcwise connectedness of set-valued maps as a generalization of cone arcwise connected set-valued maps. We establish the sufficient Karush-Kuhn-Tucker (KKT) conditions for the existence of minimizers of the problem (MFP) under ρ-cone arcwise connectedness assumption. Further, we study the Mond-Weir (MWD), Wolfe (WD), and mixed (MD) types of duality models and prove the corresponding weak, strong, and converse duality theorems between the primal (MFP) and the corresponding dual problems under ρ-cone arcwise connectedness assumption.
Źródło:: Control and Cybernetics; 2022, 51, 1; 43--69
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Level sets of continuous functions increasing with respect to each variable
Autorzy:: Sajbura, Katarzyna
Powiązania:: https://bibliotekanauki.pl/articles/729642.pdf
Data publikacji:: 2005
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: level set
continuous function
function increasing with respect to each variable
arcwise connectedness
Opis:: We are going to prove that level sets of continuous functions increasing with respect to each variable are arcwise connected (Theorem 3) and characterize those of them which are arcs (Theorem 2). In [3], we will apply the second result to the classical linear functional equation
φ∘f = gφ + h
(cf., for instance, [1] and [2]) in a case not studied yet, where f is given as a pair of means, that is so-called mean-type mapping.
Źródło:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2005, 25, 1; 19-26
1509-9407
Pojawia się w:: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:: Biblioteka Nauki

Artykuł

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