scholarly journals Ekeland’s Variational Principle and Minimization Takahashi’s Theorem in Generalized Metric Spaces

Mathematics ◽  
2018 ◽  
Vol 6 (6) ◽  
pp. 93 ◽  
Author(s):  
Eshagh Hashemi ◽  
Reza Saadati
Keyword(s):  
Variational Principle ◽  
Metric Spaces ◽  
Ekeland’S Variational Principle ◽  
Ekeland's Variational Principle ◽  
Generalized Metric Spaces ◽  
Generalized Metric

scholarly journals From Caristi’s Theorem to Ekeland’s Variational Principle in0σ-Complete Metric-Like Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Mohamed Jleli ◽  
Bessem Samet ◽  
Calogero Vetro ◽  
Francesca Vetro
Keyword(s):  
Variational Principle ◽  
Nonlinear Analysis ◽  
Metric Spaces ◽  
Ekeland’S Variational Principle ◽  
Ekeland's Variational Principle ◽  
Caristi’S Theorem

We discuss the extension of some fundamental results in nonlinear analysis to the setting of0σ-complete metric-like spaces. Then, we show that these extensions can be obtained via the corresponding results in standard metric spaces.

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