Variants of the Ekeland variational principle for approximate proper solutions of vector equilibrium problems

2019 ◽  
Vol 74 (2) ◽  
pp. 361-382
Author(s):  
L. P. Hai ◽  
L. Huerga ◽  
P. Q. Khanh ◽  
V. Novo
Keyword(s):  
Variational Principle ◽  
Equilibrium Problems ◽  
Ekeland Variational Principle ◽  
Vector Equilibrium Problems ◽  
Vector Equilibrium ◽  
Proper Solutions

scholarly journals Ekeland Variational Principle for Generalized Vector Equilibrium Problems with Equivalences and Applications

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
De-ning Qu ◽  
Cao-zong Cheng
Keyword(s):  
Variational Principle ◽  
Equilibrium Problems ◽  
Existence Results ◽  
Ekeland Variational Principle ◽  
Vector Equilibrium Problems ◽  
Noncompact Domain ◽  
Generalized Vector Equilibrium Problems ◽  
Vector Equilibrium

The aim of this paper is to introduce Ekeland variational principle with variants for generalized vector equilibrium problems and to establish some existence results of solutions of generalized vector equilibrium problems with compact or noncompact domain as applications. Finally, some equivalent results of the established Ekeland variational principle are presented.

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