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Demonstratio Mathematica

Editor-in-Chief: Vetro, Calogero


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CiteScore 2018: 0.47
SCImago Journal Rank (SJR) 2018: 0.265
Source Normalized Impact per Paper (SNIP) 2018: 0.714

Mathematical Citation Quotient (MCQ) 2018: 0.17

ICV 2018: 121.16

Open Access
Online
ISSN
2391-4661
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Volume 51, Issue 1

Issues

A Short Note on the Common Fixed Points of the Geraghty Contraction of Type ES,T

Badr Alqahtani / Andreea Fulga / Erdal Karapınar
Published Online: 2018-09-19 | DOI: https://doi.org/10.1515/dema-2018-0019

Abstract

In this paper, we propose a new contraction type for two self-mappings and investigate the necessary conditions for the existence and uniqueness of coincidence points and common fixed points, respectively. We put some examples to illustrate our main results.

Keywords: Geraghty type contraction; E-contraction; Geraghty contraction of type ES,T

MSC 2010: 47H10; 54H25

References

  • [1] Geraghty M., On contractive mappings, Proc. Amer. Math. Soc., 1973, 40, 604-608Google Scholar

  • [2] Banach S., Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales, Fundam. Math., 1922, 3, 133-181Google Scholar

  • [3] Cho S.-H., Bae J.-S., Karapınar E., Fixed point theorems for −Geraghty contraction type maps in metric spaces, Fixed Point Theory Appl., 2013, Art. ID 329CrossrefGoogle Scholar

  • [4] Fulga A., Proca A., Fixed point for 'E-Geraghty contractions, J. Nonlinear Sci. Appl., 2017, 10(9), 5125-5131CrossrefGoogle Scholar

  • [5] Karapınar E., Edelstein type fixed point theorems, Fixed Point Theory Appl., 2012, Art. ID 107CrossrefGoogle Scholar

  • [6] Karapınar E., Weak '-contraction on partial metric spaces, J. Comput. Anal. Appl., 2012, 14, 206-210Google Scholar

  • [7] Zhang Q., Song Y., Fixed point theory for generalized '-weak contractions, Appl. Math. Lett., 2009, 22(1), 75-78Web of ScienceCrossrefGoogle Scholar

About the article

Received: 2018-05-17

Accepted: 2018-08-16

Published Online: 2018-09-19

Published in Print: 2018-09-01


Citation Information: Demonstratio Mathematica, Volume 51, Issue 1, Pages 233–240, ISSN (Online) 2391-4661, DOI: https://doi.org/10.1515/dema-2018-0019.

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Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

[1]
Erdal Karapınar, Andreea Fulga, and Maryam Alghamdi
Symmetry, 2019, Volume 11, Number 4, Page 470
[2]
Badr Alqahtani, Andreea Fulga, and Erdal Karapınar
Symmetry, 2018, Volume 10, Number 11, Page 560
[3]
Andreea Fulga and Erdal Karapınar
Mathematics, 2018, Volume 6, Number 10, Page 195

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