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A Discussion on a Pata Type Contraction Via Iterate at a Point

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Date

2020

Journal Title

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Volume Title

Publisher

Univ Nis, Fac Sci Math

Open Access Color

GOLD

Green Open Access

No

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No
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Top 10%

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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

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
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OpenCitations Citation Count
5

Source

Filomat

Volume

34

Issue

4

Start Page

1061

End Page

1066
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CrossRef : 1

Scopus : 7

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Mendeley Readers : 1

SCOPUS™ Citations

7

checked on Feb 23, 2026

Web of Science™ Citations

6

checked on Feb 23, 2026

Page Views

2

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