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SOME FIXED POINT THEOREMS OF R-WEAKLY COMMUTING MAPPINGS IN MULTIPLICATIVE METRIC SPACES

Yıl 2016, Cilt: 29 Sayı: 4, 855 - 867, 19.12.2016

Öz

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.

Kaynakça

  • 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,
Yıl 2016, Cilt: 29 Sayı: 4, 855 - 867, 19.12.2016

Öz

Kaynakça

  • 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,
Toplam 30 adet kaynakça vardır.

Ayrıntılar

Bölüm Mathematics
Yazarlar

Laishram Shanjit

Yumnam Rohen

Penumurthy Murthy

Yayımlanma Tarihi 19 Aralık 2016
Yayımlandığı Sayı Yıl 2016 Cilt: 29 Sayı: 4

Kaynak Göster

APA Shanjit, L., Rohen, Y., & Murthy, P. (2016). SOME FIXED POINT THEOREMS OF R-WEAKLY COMMUTING MAPPINGS IN MULTIPLICATIVE METRIC SPACES. Gazi University Journal of Science, 29(4), 855-867.
AMA Shanjit L, Rohen Y, Murthy P. SOME FIXED POINT THEOREMS OF R-WEAKLY COMMUTING MAPPINGS IN MULTIPLICATIVE METRIC SPACES. Gazi University Journal of Science. Aralık 2016;29(4):855-867.
Chicago Shanjit, Laishram, Yumnam Rohen, ve Penumurthy Murthy. “SOME FIXED POINT THEOREMS OF R-WEAKLY COMMUTING MAPPINGS IN MULTIPLICATIVE METRIC SPACES”. Gazi University Journal of Science 29, sy. 4 (Aralık 2016): 855-67.
EndNote Shanjit L, Rohen Y, Murthy P (01 Aralık 2016) SOME FIXED POINT THEOREMS OF R-WEAKLY COMMUTING MAPPINGS IN MULTIPLICATIVE METRIC SPACES. Gazi University Journal of Science 29 4 855–867.
IEEE L. Shanjit, Y. Rohen, ve P. Murthy, “SOME FIXED POINT THEOREMS OF R-WEAKLY COMMUTING MAPPINGS IN MULTIPLICATIVE METRIC SPACES”, Gazi University Journal of Science, c. 29, sy. 4, ss. 855–867, 2016.
ISNAD Shanjit, Laishram vd. “SOME FIXED POINT THEOREMS OF R-WEAKLY COMMUTING MAPPINGS IN MULTIPLICATIVE METRIC SPACES”. Gazi University Journal of Science 29/4 (Aralık 2016), 855-867.
JAMA Shanjit L, Rohen Y, Murthy P. SOME FIXED POINT THEOREMS OF R-WEAKLY COMMUTING MAPPINGS IN MULTIPLICATIVE METRIC SPACES. Gazi University Journal of Science. 2016;29:855–867.
MLA Shanjit, Laishram vd. “SOME FIXED POINT THEOREMS OF R-WEAKLY COMMUTING MAPPINGS IN MULTIPLICATIVE METRIC SPACES”. Gazi University Journal of Science, c. 29, sy. 4, 2016, ss. 855-67.
Vancouver Shanjit L, Rohen Y, Murthy P. SOME FIXED POINT THEOREMS OF R-WEAKLY COMMUTING MAPPINGS IN MULTIPLICATIVE METRIC SPACES. Gazi University Journal of Science. 2016;29(4):855-67.