A Discussion on a Pata Type Contraction Via Iterate at a Point
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Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Univ Nis, Fac Sci Math
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
Abstract
In this paper, we introduce the notion of Pata type contraction at a point in the context of a complete metric space. We observe that such contractions possesses unique fixed point without continuity assumption on the given mapping. Thus, is extended the original results of Pata. We also provide an example to illustrate its validity.
Description
Rakocevic, Vladimir/0000-0002-4182-4458
ORCID
Keywords
Pata Type Contraction, Iterate At A Point, Metric Space, iterate at a point, Fixed-point and coincidence theorems (topological aspects), metric space, Special maps on metric spaces, Pata type contraction
Fields of Science
0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, 01 natural sciences
Citation
Karapınar, Erdal; Fulga, Andreea; Rakočević, V. (2020). "A discussion on a pata type contraction via iterate at a point", Filomat, Vol.34, No.4, pp.1061-1066.
WoS Q
Q2
Scopus Q
Q3

OpenCitations Citation Count
5
Source
Filomat
Volume
34
Issue
4
Start Page
1061
End Page
1066
PlumX Metrics
Citations
CrossRef : 1
Scopus : 7
Captures
Mendeley Readers : 1
SCOPUS™ Citations
7
checked on Feb 23, 2026
Web of Science™ Citations
6
checked on Feb 23, 2026
Page Views
2
checked on Feb 23, 2026
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