Research Article

A generalized fixed point theorem in non-Newtonian calculus

Volume: 5 Number: 4 October 1, 2017
EN

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

References

  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).

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Publication Date

October 1, 2017

Submission Date

April 6, 2016

Acceptance Date

-

Published in Issue

Year 2017 Volume: 5 Number: 4

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 (October 1, 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, vol. 5, no. 4, pp. 52–57, Oct. 2017, [Online]. Available: https://izlik.org/JA22ET88EC
ISNAD
Kir, Mehmet. “A Generalized Fixed Point Theorem in Non-Newtonian Calculus”. New Trends in Mathematical Sciences 5/4 (October 1, 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, vol. 5, no. 4, Oct. 2017, pp. 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]. 2017 Oct. 1;5(4):52-7. Available from: https://izlik.org/JA22ET88EC