Remarks on some variants of minimal point theorem and Ekeland variational principle with applications

• Autorzy: Meghea Irina , Stamin Cristina Stefania

Identyfikatory

DOI

10.1515/dema-2022-0024

• Języki publikacji: EN

Abstrakty

EN

This paper presents some variants of minimal point theorem together with corresponding variants of Ekeland variational principle. In the second part of this article, there is a discussion on Ekeland variational principle and minimal point theorem relative to it in uniform spaces. The aim of these series of important results is to highlight relations between them, some improvements and specific applications.

Słowa kluczowe

EN

minimal point; Ekeland's variational principle; Luc functional; convex cone; uniform space; equilibrium problem; location problem; multicriteria control problem; multicriteria fractional programming problem; stochastic efficiency

PL

zasada wariacyjna; wariacyjna zasada Ekelanda; stożek wypukły; przestrzeń jednostajna; zagadnienie równowagi; zagadnienie lokalizacyjne; zagadnienie kontrolne

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2022
• Tom: Vol. 55, nr 1
• Strony: 354--379
• Opis fizyczny: Bibliogr. 30 poz.

Twórcy

autor

Meghea Irina

• University POLITEHNICA of Bucharest, Faculty of Applied Sciences, Bucuresti 060042, Romania

autor

Stamin Cristina Stefania

• University POLITEHNICA of Bucharest, Faculty of Applied Sciences, Bucuresti 060042, Romania

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).