Results 141 to 150 of about 585 (200)

Ekeland's ε-variational principle for set-valued mappings

Mathematical Methods of Operations Research, 1998
In this paper, we introduce the concept of approximate solutions for set-valued mappings and provide a sufficient condition for the existence of approximate solutions of set-valued mappings. We obtain an approximate variational principle for set-valued mappings.
Guang Ya Chen, Xiaoxu Huang
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Exponential Dichotomies by Ekeland’s Variational Principle

Journal of Dynamics and Differential Equations, 2020
Exponential dichotomy, which is a type of hyperbolicity in the context of linear time-varying systems, is the central focus of this paper. First, two well known characterizations of the exponential dichotomy in \(\mathbb{R}^+\) are presented: \begin{itemize} \item [(i)] If the system \(\dot{v}=A(t)v+f(t)\) in \(\mathbb{R}^N\), admits a bounded solution
Juan Campos, Massimo Tarallo
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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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Ekeland Variational Principle

2014
In this chapter we present existence results for minimal points of subsets of the Cartesian product of a complete metric space and a topological vector space with respect to order relations determined by generalized set-valued metrics; such results are useful for deriving EVP type results for vector and scalar functions.
Akhtar A. Khan, Christiane Tammer, Constantin Zălinescu   +2 more
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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’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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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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