Results 81 to 90 of about 465 (165)
Being informed that one of our articles is cited in the paper mentioned in the title, we downloaded it, and we were surprised to see that, practically, all the results from our paper were reproduced in Section 3 of Meghea and Stamin’s article.
Göpfert Alfred +2 more
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On the weak form of Ekeland s Variational Principle in quasi-metric spaces [PDF]
[EN] We show that a quasi-metric space is right K-sequentially complete if and only if it satisfies the property of the weak form of Eke land's Variational Principle. This result solves a question raised by S. Cobzas (2011) [3].
Romaguera Bonilla, Salvador +1 more
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A generalization of the Ekeland variational principle
In this short communication, we present a generalization of the Ekeland variational principle. The main result is established through standard tools of functional analysis and calculus of variations. The novelty here is a result involving the second Gâteaux variation of the functional in question.
openaire +2 more sources
Existence of solutions for cross critical exponential N-Laplacian systems
In this article we consider cross critical exponential N-Laplacian systems. Using an energy estimate on a bounded set and the Ekeland variational principle, we prove the existence of a nontrivial weak solution, for a parameter large enough.
Xiaozhi Wang
doaj
Implicit Multifunction Theorems in Banach Spaces
This paper is mainly devoted to the study of implicit multifunction theorems in terms of Clarke coderivative in general Banach spaces. We present new sufficient conditions for the local metric regularity, metric regularity, Lipschitz-like property ...
Ming-ge Yang, Yi-fan Xu
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In this paper, we give a new fixed point theorem on Hilbert spaces for potential α-positively homogeneous operators by using weak Ekeland variational ...
Briki, M., Moussaoui, T.
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Ekeland Type Variational Principle with Applications to Quasi-variational Inclusion Problems
[[abstract]]In this paper, we study the Ekeland type variational principle, a Caristi Kirk type fixed point theorem and a maximal element theorem in the setting of uniform spaces.
Lai-Jiu Lin;Chih Sheng Chuang
core
Variants of the Ekeland Variational Principle for a set-valued map involving the Clarke Normal Cone
In this paper we present two set-valued variants of the Ekeland variational principle involving the Clarke normal cone and establish sufficient conditions for a set-valued map to have a weak minimizer or a properly positive minimizer when it satisfies ...
Ha, Truong Xuan Duc, Truong Xuan Duc Ha
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[[abstract]]In this paper, we apply an existence theorem for the variational inclusion problem to study the existence results for the variational intersection problems in Ekeland’s sense and the existence results for some variants of set-valued vector ...
Lin Lai-Jiu; Chih-Sheng Chuan
core
Robust Ekeland variational principles. Application to the formation and stability of partnerships
International audienceThis paper has two parts. The mathematical part provides generalized versions of the robust Ekeland variational principle in terms of set-valued EVP with variable preferences, uncertain parameters and changing weights given to ...
Soubeyran, Antoine +3 more
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