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Rational contraction in multiplicative metric spaces

Cilt: 2 Sayı: 4 24 Aralık 2018
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Rational contraction in multiplicative metric spaces

Abstract

The purpose of this paper is to prove that instead of a rational contraction shown in the papers  Afrah A. N. Abdou, \emph{Fixed point theorems for generalized contraction mappings in multiplicative metric spaces, }J. Nonlinear Sci.
Appl. 9, 2347-2363,  (2016) and N. Sharma, K. Kumar, S. Sharma, R. Jha, \emph{Rational contractive condition
in multiplicative metric space and common fixed point theorem}, International Journal of Innovative Research in Science,
Engineering and Technology, 5, 10473-10480 (2016) a more general contractive condition can be obtained in multiplicative metric spaces, which is equivalent to a contractive condition in metric spaces.

Keywords

Kaynakça

  1. [1] M. Abbas, B. Ali, Yi Suleiman, \emph{Common fixed points oflocally contractive mappings in multiplicative metric spaces withapplications,} Int. J., Math. Math. Sci. 2015, Article ID 218683, (2015).
  2. [2] M. Abbas, M. De La Sen, T. Nazir, \emph{Common fixed pointsof generalized rational type cocyclic mappings in multiplicative metricspaces,} Discrete Dyn. Nat. Soc. 2015, Article Id 532725, (2015).
  3. [3] K. Abodayeh, A. Pitea, W. Shatanawi, T. Abdeljawad, \emph{%Remarks on Multiplicative Metric Spaces and Related Fixed Points,}arXiv:1512.03771v1 [math.GN] 11, (2015).
  4. [4] Afrah A. N. Abdou, \emph{Fixed point theorems for generalizedcontraction mappings in multiplicative metric spaces, }J. Nonlinear Sci.Appl. 9, 2347-2363, (2016).
  5. [5] D.E. Anderson, K.L.Singh, J.H.M. Whitfield, \emph{Common fixed point for family of mappings}, Internat. J. Math. and Math. Sci., 7(1), 1984, 89-95.
  6. [6] R. P. Agarwal, E. Karapinar and B. Samet, \emph{An essentialremark on fixed point results on multiplicative metric spaces, }Fixed Point\theory Appl., 2016:21, (2016).
  7. [7] S. Banach, \emph{Sur les op\'{e}rations dans les ensemblesabstraits et leur application aux \'{e}quations int\'{e}grales,} Fundam.Math.,3, 133-181, (1922).
  8. [8] A. Bashirov, E. Kurpinar, A. Ozyapici, \emph{Multiplicativecalculus and its applications,} J. Math. Anal. Appl. 337 (1), 36-48, (2008).

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

24 Aralık 2018

Gönderilme Tarihi

13 Kasım 2018

Kabul Tarihi

7 Aralık 2018

Yayımlandığı Sayı

Yıl 2018 Cilt: 2 Sayı: 4

Kaynak Göster

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