Fixed point and attractor theorems for ultrametric spaces

1999 ◽  
Vol 12 (1) ◽  
Author(s):  
Sibylla Priess-Crampe and Paulo Ribenboim
Keyword(s):  
Fixed Point ◽  
Ultrametric Spaces

scholarly journals Remarks on ”Some new fixed point theorems for contractive and nonexpansive mappings”

Filomat ◽  
2017 ◽  
Vol 31 (20) ◽  
pp. 6483-6491
Author(s):  
Rajendra Pant ◽  
Hemant Nashine ◽  
Zoran Kadelburg
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Nonexpansive Mappings ◽  
Ultrametric Spaces

Pant [Filomat 28 (2014), no. 2, 313-317] obtained some fixed point results in ultrametric spaces. Unfortunately, the proofs of main results had flaws. We present corrected proofs of his theorems for single valued mappings and correct formulations and proofs in the multivalued case.

scholarly journals Fixed Point and Common Fixed Point Theorems for Cyclic Quasi-Contractions in Metric and Ultrametric Spaces

2012 ◽  
Vol 02 (06) ◽  
pp. 401-407 ◽  
Author(s):  
Parin Chaipunya ◽  
Yeol Je Cho ◽  
Wutiphol Sintunavarat ◽  
Poom Kumam
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Ultrametric Spaces ◽  
Common Fixed Point Theorems

scholarly journals TEOREMA TITIK TETAP FUNGSI YANG KONTRAKSI TEGAS

2019 ◽  
Vol 2 (2) ◽  
pp. 64
Author(s):  
Michael Inuhan ◽  
Ch. Rini Indrati
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Unique Fixed Point ◽  
Ultrametric Spaces

In this paper, it will be discussed some fixed point theorems in ultrametric spaces. By using spherically complete properties, it can be shown that there exists a unique fixed point of strictly contractive function. At the end, it will be shown there exists fixed point of strictly contracting on orbits function.

scholarly journals Some fixed point results in ultrametric spaces

2012 ◽  
Vol 159 (15) ◽  
pp. 3327-3334 ◽  
Author(s):  
W.A. Kirk ◽  
N. Shahzad
Keyword(s):  
Fixed Point ◽  
Ultrametric Spaces

On the topology of partial metric spaces

2020 ◽  
Vol 70 (1) ◽  
pp. 135-146
Author(s):  
Dariusz Bugajewski ◽  
Ruidong Wang
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Sufficient Conditions ◽  
Banach Contraction Principle ◽  
Partial Metric ◽  
Ultrametric Spaces ◽  
Partial Metric Spaces ◽  
Banach Contraction ◽  
Necessary And Sufficient

AbstractIn this paper, we give some necessary and sufficient conditions under which the topology generated by a partial metric is equivalent to the topology generated by a suitably defined metric. Next, we study some new extensions of the Generalized Banach Contraction Principle to partial metric spaces. Moreover, we draw a particular attention to the space of all sequences showing, in particular, that some well-known fixed point theorems for ultrametric spaces, can be used for operators acting in that space. We illustrate our considerations by suitable examples and counterexamples.

scholarly journals Penot’s Compactness Property in Ultrametric Spaces with an Application

2021 ◽  
Vol 2021 ◽  
pp. 1-6
Author(s):  
Mostafa Bachar ◽  
Messaoud Bounkhel ◽  
Samih Lazaiz
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Compactness Property ◽  
Ultrametric Spaces ◽  
Completeness Property

In this work, we investigate the compactness property in the sense of Penot in ultrametric spaces. Then, we show that spherical completeness is exactly the Penot’s compactness property introduced for convexity structures. The spherical completeness property misled some mathematicians to it to hyperconvexity in metric spaces. As an application, we discuss some fixed point results in spherically complete ultrametric spaces.

scholarly journals Common Fixed Point Theorems of Multivalued Maps in Fuzzy Ultrametric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
A. F. Sayed
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Multivalued Maps ◽  
Ultrametric Spaces ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Common Fixed Point Theorems

In the setting of fuzzy ultrametric spaces, we study common fixed point theorems of multivalued maps. Our results unify, extend, and generalize some related common fixed point theorems of the literature for both ultrametric spaces (Wang and Song (2013), Gajić (2002) and (2001)) and fuzzy metric spaces (Vijayaraju and Sajath (2011)).

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