Results 121 to 130 of about 512 (163)

Vector Ekeland Variational Principle

2000
In this paper the well-known Ekeland variational principle is generalized to the case where vector-valued functions are involved. Namely, vector Ekeland variational principle is studied. In particular, the epsilon vector minimum point of a vector optimization problem is investigated via vector Ekeland variational principle.
Shen Jie Li, Xiao Qi Yang, Guang-ya Chen
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Ekeland Variational Principles in Vector Equilibrium Problems

SIAM Journal on Optimization, 2017
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Gutiérrez, C., Kassay, G., Novo, V., Ródenas-Pedregosa, J. L.   +3 more
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Versions of Ekeland’s variational principle involving set perturbations

Journal of Global Optimization, 2012
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Khanh, Phan Quoc, Quy, Dinh Ngoc
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General Ekeland's Variational Principle for Set-Valued Mappings

Journal of Optimization Theory and Applications, 2000
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Chen, G. Y., Huang, X. X., Hou, S. H.
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Ekeland’s Variational Principle for Functions Unbounded from below

The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity, 2020
This paper is devoted to variational principles of nonlinear analysis for functions whose domain is a generalized metric space. A modification of the Ekeland variational principle for functions unbounded from below is obtained. For a wide class of differentiable functions not necessarily bounded below, it is shown that there exists a minimizing ...
Sengupta, R., Zhukovskiy, S.
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Cyclically monotone equilibrium problems and Ekeland’s principle

Decisions in Economics and Finance, 2017
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On Ekeland's Variational Principle for Set-Valued Mappings

Acta Mathematicae Applicatae Sinica, English Series, 2007
Let \(X\) be a complect metric space and \(E\) be an ordered Hausdorff topological vector space. In this paper for new classes of set valued mappings \(F:X \rightarrow 2^{E}\) the vector Ekeland's variation principle is proved.
Li, Sheng-Jie, Zhang, Wen-Yan
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Ekeland’s variational principle with weighted set order relations

Mathematical Methods of Operations Research, 2019
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Qamrul Hasan Ansari, Andreas H Hamel, Pradeep Kumar Sharma   +2 more
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Sequentially lower complete spaces and Ekeland’s variational principle

Acta Mathematica Sinica, English Series, 2015
The main result of this paper establishes a version of the vectorial Ekeland variational principle for sequentially lower monotone maps in the framework of sequentially lower complete spaces. This abstract result enables the authors to deduce as corollaries a vectorial Caristi fixed point theorem and a vectorial Takahashi nonconvex minimization theorem.
He, Fei, Qiu, Jing-Hui
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Equivalent formulations of Ekeland's variational principle

Nonlinear Analysis: Theory, Methods & Applications, 2003
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