Revisiting of Some Outstanding Metric Fixed Point Theorems Via <i>e</I>-contraction

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Date

2018

Journal Title

Journal ISSN

Volume Title

Publisher

Ovidius Univ Press

Open Access Color

Green Open Access

No

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Abstract

In this paper, we introduce the notion of alpha-psi-contractive mapping of type E, to remedy of the weakness of the existing contraction mappings. We investigate the existence and uniqueness of a fixed point of such mappings. We also list some examples to illustrate our results that unify and generalize the several well-known results including the famous Banach contraction mapping principle.

Description

Fulga, Andreea/0000-0002-6689-0355; KARAPINAR, ERDAL/0000-0002-6798-3254

Keywords

alpha-psi-contractive mapping of type, Fixed point, metric space, α-ψ-contractive mapping of type, fixed point, primary 46t99, 47h10, metric space, QA1-939, secondary 54h25, Mathematics

Fields of Science

0101 mathematics, 01 natural sciences

Citation

WoS Q

Q2

Scopus Q

Q3
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OpenCitations Citation Count
3

Source

Analele Universitatii "Ovidius" Constanta - Seria Matematica

Volume

26

Issue

3

Start Page

73

End Page

97

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CrossRef : 3

Scopus : 6

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Mendeley Readers : 1

SCOPUS™ Citations

6

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Web of Science™ Citations

5

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2

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