Abstract
In this paper, we present a unique common xed point theorem for point-wise R-weakly commuting maps in complete multiplicative metric space. Another result for R-weakly commuting of type (P) is also established. Our results generalize the results of the main theorem of Xiaoju He, Meimei Song and Danping Chen (Common xed points for weak commutative mappings on a multiplicative metric space) by using R-weakly commuting maps.
Keywords
R-Weakly commuting maps R-weakly commuting of type (P) multiplicative metric space common fixed points.
References
- References
- M. Grossman, R. Katz, Non-Newtonian Calculus, Lee Press, Pigeon Cove,
- MA, 1972.
- Ozavsar, M., Cevikel, A. C., Fixed point of multiplicative contraction map-
- pings on multiplicative metric space, arXiv:1205.5131v1 [math.GM] 2012
- Agamieza E. Bashirov, Emine Misirli Kurpinar, Ali Ozyapici, Multiplica-
- tive calculus and its applications, J. Math. Appl. 337 (2008)36-48
- Luc Florack, Hans van Assen, Multiplicative Calculus in Biomedical Image
- Analysis, 2011
- Ugur Kadak, Muharrem Ozluk, Generalized Runge-Kutta Method with
- respect to the Non-Newtonian Calculus, 2015
- A. Bashirov, M. Riza, On complex multiplicative dierentiation, 2011, pp.
- -85
- E. Misirli, Y. Gurefe, Multiplicative Adams Bashforth-Moulton methods,
- Numerical Algorithms, 57(4)(2011), 425-439.
- R. P. Pant, Common xed point theorems for contractive maps,251-258
- (1998)
- R. P. Pant, R-weak commutativity and common xed points, 37-42, 1999
- Imdad, Mohd., Ali, Javid, Some common xed point theorems in fuzzy
- metric space. Mathematical Communication 11 (2006), 153-163.
- Gu, F., Cui, L-m, Wu, Y-h, Some xed point theorems for new contractive
- type mappings, J. Qiqihar Univ. 19 , 85-89 (2003)
- Xiaoju He, Meimei Song and Danping Chen, Common xed points for
- weak commutative mappings on a multiplicative metric space, Fixed point
- theory and applications 2014, 2014:48
- Agamirza E. Bashirov, Emine Misirli, Yucel Tandogdu, On modeling with
- multiplicative dierential equations
- Mustafa Riza, Hatice Aktore, The Runge-Kutta method in geometric mul-
- tiplicative calculus,2015
- Agamirza Bashirov, Mustafa Riza, On complex multiplicative integration,
Abstract
References
- References
- M. Grossman, R. Katz, Non-Newtonian Calculus, Lee Press, Pigeon Cove,
- MA, 1972.
- Ozavsar, M., Cevikel, A. C., Fixed point of multiplicative contraction map-
- pings on multiplicative metric space, arXiv:1205.5131v1 [math.GM] 2012
- Agamieza E. Bashirov, Emine Misirli Kurpinar, Ali Ozyapici, Multiplica-
- tive calculus and its applications, J. Math. Appl. 337 (2008)36-48
- Luc Florack, Hans van Assen, Multiplicative Calculus in Biomedical Image
- Analysis, 2011
- Ugur Kadak, Muharrem Ozluk, Generalized Runge-Kutta Method with
- respect to the Non-Newtonian Calculus, 2015
- A. Bashirov, M. Riza, On complex multiplicative dierentiation, 2011, pp.
- -85
- E. Misirli, Y. Gurefe, Multiplicative Adams Bashforth-Moulton methods,
- Numerical Algorithms, 57(4)(2011), 425-439.
- R. P. Pant, Common xed point theorems for contractive maps,251-258
- (1998)
- R. P. Pant, R-weak commutativity and common xed points, 37-42, 1999
- Imdad, Mohd., Ali, Javid, Some common xed point theorems in fuzzy
- metric space. Mathematical Communication 11 (2006), 153-163.
- Gu, F., Cui, L-m, Wu, Y-h, Some xed point theorems for new contractive
- type mappings, J. Qiqihar Univ. 19 , 85-89 (2003)
- Xiaoju He, Meimei Song and Danping Chen, Common xed points for
- weak commutative mappings on a multiplicative metric space, Fixed point
- theory and applications 2014, 2014:48
- Agamirza E. Bashirov, Emine Misirli, Yucel Tandogdu, On modeling with
- multiplicative dierential equations
- Mustafa Riza, Hatice Aktore, The Runge-Kutta method in geometric mul-
- tiplicative calculus,2015
- Agamirza Bashirov, Mustafa Riza, On complex multiplicative integration,
Details
| Journal Section | Mathematics |
|---|---|
| Authors | |
| Publication Date | December 19, 2016 |
| Published in Issue | Year 2016 Volume: 29 Issue: 4 |