Fixed points of multiplicative contraction mappings on multiplicative metric spaces
Fixed points of multiplicative contraction mappings on multiplicative metric spaces
In this paper, we first discussed multiplicative metric mapping by giving some topological properties of the relevant multiplicative metric space. As an interesting result of our discussions, we observed that the set of positive real numbers R_+ is a complete multiplicative metric space with respect to the multiplicative absolute value function. Furthermore, we introduced concept of multiplicative contraction mapping and proved some fixed point theorems of such mappings on complete multiplicative metric spaces.
___
- Bashirov, A.E., Kurpınar, E.M. and Ozyapıcı, A. Multiplicative calculus and its applications. J. Math.Analy. App. 337 (2008): 36-48.
- Jung Soon-Mo. A Fixed Point Approach to the Stability of Differential Equations y'=F(x,y). Bull of the Malys. Math.Sci. Soc. 33 (2010): 47-56.
- Kimura, Y. and Takahashi, W. Weak convergence to common fixed points of countable nonexpansive mappings and its applications. Journal of the Korean Mathematical Society 38 (2001): 1275-1284.
- Takahashi, W. Nonlinear Functional Analysis: Fixed point theory and its applications. Yokohama Publishers, 2000.
- Yayın Aralığı: Yılda 3 Sayı
- Başlangıç: 2016
- Yayıncı: Muhammet Kurulay
Sayıdaki Diğer Makaleler
Evaluating the Electricity Supply in Turkey Under Economic Growth and Increasing Electricity Demand
A Comparison Between Mıcrosoft Excel Solver and Ncss, Spss Routines for Nonlinear Regression Models
Didem TETİK KÜÇÜKELÇİ, Atıf EVREN
Fixed points of multiplicative contraction mappings on multiplicative metric spaces
Beta Regression for the Indicator Values of Well-Being Index For Provinces in Turkey