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
- M. Grossman, R. Kantz, Non-Newtonian Calculus, Lee Press, Pigeon Cove, MA, 1972.
- D. Stanley, A multiplicative calculus, Primus IX (4)1999,310-326.
- Agamirza E. Bashirov, Emine. M. Kurpınar, A. Özyapıcı, Multiplicative calculus and its applications, J. Math. Anal. Appl. 337(2008)36-48.
- L. Florack, H. van Assen, Multiplicative calculus in Biomedical image analysis, J. Math. Imaging Vis. (2012) 42: 64-75.
- M., Özsavar and A. C. Çevikel, Fixed point of multipcative contraction mappings on multiplicative metric space. arXiv:1205.5131v1[matn.GN] (2012).
- M. Sarwar and Badshah-e-Rome, Some unique fixed point theorems in multiplicative metric space, arXiv:1410.3384v2[matn.GN] (2014).
- 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)
- 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
Mehmet Kir
*
Türkiye
Yayımlanma Tarihi
1 Ekim 2017
Gönderilme Tarihi
6 Nisan 2016
Kabul Tarihi
-
Yayımlandığı Sayı
Yıl 2017 Cilt: 5 Sayı: 4