Set-valued Caristi's fixed point theorem and Ekfland's variational principle

1989 ◽  
Vol 10 (2) ◽  
pp. 119-121 ◽  
Author(s):  
Zhang Shi-shen ◽  
Luo Qun
Keyword(s):  
Fixed Point ◽  
Variational Principle ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Caristi’S Fixed Point Theorem ◽  
Caristi's Fixed Point Theorem

scholarly journals A minimization theorem in quasi-metric spaces and its applications

2002 ◽  
Vol 31 (7) ◽  
pp. 443-447 ◽  
Author(s):  
Jeong Sheok Ume
Keyword(s):  
Fixed Point ◽  
Variational Principle ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Caristi’S Fixed Point Theorem ◽  
Caristi's Fixed Point Theorem

We prove a new minimization theorem in quasi-metric spaces, which improves the results of Takahashi (1993). Further, this theorem is used to generalize Caristi's fixed point theorem and Ekeland'sϵ-variational principle.

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