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A generalized fixed point theorem in non-Newtonian calculus

Cilt: 5 Sayı: 4 1 Ekim 2017
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A generalized fixed point theorem in non-Newtonian calculus

Abstract

In this paper, a generalized fixed point theorem and its results are established in the concept of multiplicative distance which was introduced by Agamirza et.al [3] to improve the non-Newtonian calculus. Our results include some existing results in the concept of multiplicative metric space.

Keywords

Kaynakça

  1. M. Grossman, R. Kantz, Non-Newtonian Calculus, Lee Press, Pigeon Cove, MA, 1972.
  2. D. Stanley, A multiplicative calculus, Primus IX (4)1999,310-326.
  3. Agamirza E. Bashirov, Emine. M. Kurpınar, A. Özyapıcı, Multiplicative calculus and its applications, J. Math. Anal. Appl. 337(2008)36-48.
  4. L. Florack, H. van Assen, Multiplicative calculus in Biomedical image analysis, J. Math. Imaging Vis. (2012) 42: 64-75.
  5. M., Özsavar and A. C. Çevikel, Fixed point of multipcative contraction mappings on multiplicative metric space. arXiv:1205.5131v1[matn.GN] (2012).
  6. M. Sarwar and Badshah-e-Rome, Some unique fixed point theorems in multiplicative metric space, arXiv:1410.3384v2[matn.GN] (2014).
  7. K. Abodayeh, A. Pitea, W. Shatanawi and T. Abdeljawad, Remarks on multiplicative metric spaces and related fixed point results, arXiv:1512.03771v1[matn.GN] (2015)
  8. O. Yamaod and W. Sintunavarat, Some fixed point results for generalized contraction mappings with cyclic (α,β)-admissible mapping in multiplicative metric space, Journal of inequalities and applications, 2014:488 (2014).

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Yayımlanma Tarihi

1 Ekim 2017

Gönderilme Tarihi

6 Nisan 2016

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2017 Cilt: 5 Sayı: 4

Kaynak Göster

APA
Kir, M. (2017). A generalized fixed point theorem in non-Newtonian calculus. New Trends in Mathematical Sciences, 5(4), 52-57. https://izlik.org/JA22ET88EC
AMA
1.Kir M. A generalized fixed point theorem in non-Newtonian calculus. New Trends in Mathematical Sciences. 2017;5(4):52-57. https://izlik.org/JA22ET88EC
Chicago
Kir, Mehmet. 2017. “A generalized fixed point theorem in non-Newtonian calculus”. New Trends in Mathematical Sciences 5 (4): 52-57. https://izlik.org/JA22ET88EC.
EndNote
Kir M (01 Ekim 2017) A generalized fixed point theorem in non-Newtonian calculus. New Trends in Mathematical Sciences 5 4 52–57.
IEEE
[1]M. Kir, “A generalized fixed point theorem in non-Newtonian calculus”, New Trends in Mathematical Sciences, c. 5, sy 4, ss. 52–57, Eki. 2017, [çevrimiçi]. Erişim adresi: https://izlik.org/JA22ET88EC
ISNAD
Kir, Mehmet. “A generalized fixed point theorem in non-Newtonian calculus”. New Trends in Mathematical Sciences 5/4 (01 Ekim 2017): 52-57. https://izlik.org/JA22ET88EC.
JAMA
1.Kir M. A generalized fixed point theorem in non-Newtonian calculus. New Trends in Mathematical Sciences. 2017;5:52–57.
MLA
Kir, Mehmet. “A generalized fixed point theorem in non-Newtonian calculus”. New Trends in Mathematical Sciences, c. 5, sy 4, Ekim 2017, ss. 52-57, https://izlik.org/JA22ET88EC.
Vancouver
1.Mehmet Kir. A generalized fixed point theorem in non-Newtonian calculus. New Trends in Mathematical Sciences [Internet]. 01 Ekim 2017;5(4):52-7. Erişim adresi: https://izlik.org/JA22ET88EC