Results 121 to 130 of about 2,802 (159)

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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The weak Ekeland variational principle and fixed points

Nonlinear Analysis: Theory, Methods & Applications, 2014
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Gerald Beer, Asen L. Dontchev
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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, X. X. Huang
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On Ha’s version of set-valued Ekeland’s variational principle

Acta Mathematica Sinica, English Series, 2011
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Vectorial Ekeland Variational Principle and Cyclically Antimonotone Equilibrium Problems

Acta Mathematica Scientia, 2019
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