Caristi’s fixed point theorem in semimetric spaces

2018 ◽  
Vol 20 (1) ◽  
Author(s):  
Tomonari Suzuki
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Caristi’S Fixed Point Theorem ◽  
Semimetric Spaces ◽  
Caristi's Fixed Point Theorem

scholarly journals Characterization of  ∑-Semicompleteness via Caristi’s Fixed Point Theorem in Semimetric Spaces

2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Tomonari Suzuki
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Banach Contraction Principle ◽  
Caristi’S Fixed Point Theorem ◽  
Banach Contraction ◽  
Semimetric Spaces ◽  
The Banach Contraction Principle ◽  
Caristi's Fixed Point Theorem

Introducing the concept of ∑-semicompleteness in semimetric spaces, we extend Caristi’s fixed point theorem to ∑-semicomplete semimetric spaces. Via this extension, we characterize ∑-semicompleteness. We also give generalizations of the Banach contraction principle.

scholarly journals Remarks on Caristi’s fixed point theorem

2009 ◽  
Vol 71 (1-2) ◽  
pp. 227-231 ◽  
Author(s):  
M.A. Khamsi
Keyword(s):  
Fixed Point ◽  
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.

scholarly journals Caristi’s Fixed Point Theorem in G-Metric Spaces and Applications

2021 ◽  
pp. 3-7
Author(s):  
Iluno C. ◽  
Adetowubo A. ◽  
Adewale O. K.
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Caristi’S Fixed Point Theorem ◽  
Good Number ◽  
Caristi's Fixed Point Theorem

In this paper, we give some versions of Caristi’s fixed point theorem in a more general metric spacesetting. Our work extends a good number of results in this area of research

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