Results 121 to 130 of about 486 (163)

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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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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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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On generalizations of the Ekeland-type variational principles

Nonlinear Analysis: Theory, Methods & Applications, 2000
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Ekeland's variational principle in locally complete spaces

Mathematische Nachrichten, 2003
AbstractWe extend Ekeland's variational principle to locally complete locally convex spaces. As an application of the extension, we obtain a drop theorem in locally convex spaces which improves the related known result.
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Ekeland-Type Variational Principles and Equilibrium Problems

2011
In this survey chapter we present different forms of Ekeland’s variational principle involving τ-functions, τ-functions and fitting functions, and Q-functions, respectively. The equilibrium version of Ekeland-type variational principle is also presented.
Qamrul Hasan Ansari, Lai-Jiu Lin
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