Fixed Point Theorem in Cone Metric Space

K. Prudhvi

doi:doi:10.11648/j.dmath.20170201.14

| Peer-Reviewed

Fixed Point Theorem in Cone Metric Space

K. Prudhvi

Published in International Journal of Discrete Mathematics (Volume 2, Issue 1)

Received: 19 December 2016 Accepted: 24 January 2017 Published: 22 February 2017

Views: Downloads:

Download PDF

Share This Article

Twitter
Linked In
Facebook

Abstract

In this paper, we prove a unique common fixed point theorem for four self-mappings in cone metric spaces by using the continuity and commuting mappings. Our result extends,improvesthe results of [M. Abbas and G. Jungck, Common fixed point results for non commuting mappings without continuity in cone metric spaces, J. Math. Anal. Appl. 341(2008) 416-420].

Published in	International Journal of Discrete Mathematics (Volume 2, Issue 1)
DOI	10.11648/j.dmath.20170201.14
Page(s)	17-19
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2017. Published by Science Publishing Group

Keywords

Cone Metric Space, Fixed Point, Common Fixed Point

References

[1]	M. Abbas and G. Jungck, Common fixed point results for non commuting mappings without continuity in cone metric spaces, J. Math. Anal. Appl. 341(2008) 416-420.
[2]	M. Abbas, B. E. Rhoades, Fixed and periodic point results in cone metric spaces, Appl. Math. Lett. 21(2008)511-515.
[3]	I. Altun, B. Damnjanovic, D. Djoric, Fixed point and common fixed point theorems on ordered cone metric spaces, Appl. Math. Lett. (2009) doi:10.1016/j.aml.2009.09.016.
[4]	M. Amari, D. El Moutawakil, Some new common fixed point theorems under strict contractive conditions, J. Math. Anal. Appl. 270(2002)181-188.
[5]	M. Arshad, A. Azam, P. Vetro, Some common fixed point results on cone metric spaces, Fixed Point Theory Appl. (2009) 11, Article ID 493965.
[6]	Guangxing Song, Xiaoyan Sun, Yian Zhao, Guotao Wang, New common fixed point theorems for maps on cone metric spaces, Appl. Math. Lett. 32(2010)1033-1037.
[7]	L. G. Huang, X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332(2) (2007)1468-1476.
[8]	D. IIic, V. Rakocevic, Common fixed points for maps on cone metric space, J. Math. Anal. Appl. 341(2008) 876-886.
[9]	S. Radenović, B. E. Rhoades, Fixed point theorem for two non-self mappings in cone metric spaces, Comput. Math. Appl. 57 (2009) 1701–1707.
[10]	Sh. Rezapour and R. Hamlbarani, Some notes on the paper cone metric spaces and fixed point theorem of contractive mappings, J. Math. Anal. Appl. 345(2008), 719-724.

Cite This Article

Plain Text BibTeX RIS

APA Style

K. Prudhvi. (2017). Fixed Point Theorem in Cone Metric Space. International Journal of Discrete Mathematics, 2(1), 17-19. https://doi.org/10.11648/j.dmath.20170201.14

Copy | Download

ACS Style

K. Prudhvi. Fixed Point Theorem in Cone Metric Space. Int. J. Discrete Math. 2017, 2(1), 17-19. doi: 10.11648/j.dmath.20170201.14

Copy | Download

AMA Style

K. Prudhvi. Fixed Point Theorem in Cone Metric Space. Int J Discrete Math. 2017;2(1):17-19. doi: 10.11648/j.dmath.20170201.14

Copy | Download

@article{10.11648/j.dmath.20170201.14,
  author = {K. Prudhvi},
  title = {Fixed Point Theorem in Cone Metric Space},
  journal = {International Journal of Discrete Mathematics},
  volume = {2},
  number = {1},
  pages = {17-19},
  doi = {10.11648/j.dmath.20170201.14},
  url = {https://doi.org/10.11648/j.dmath.20170201.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.dmath.20170201.14},
  abstract = {In this paper, we prove a unique common fixed point theorem for four self-mappings in cone metric spaces by using the continuity and commuting mappings. Our result extends,improvesthe results of [M. Abbas and G. Jungck, Common fixed point results for non commuting mappings without continuity in cone metric spaces, J. Math. Anal. Appl. 341(2008) 416-420].},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Fixed Point Theorem in Cone Metric Space
AU  - K. Prudhvi
Y1  - 2017/02/22
PY  - 2017
N1  - https://doi.org/10.11648/j.dmath.20170201.14
DO  - 10.11648/j.dmath.20170201.14
T2  - International Journal of Discrete Mathematics
JF  - International Journal of Discrete Mathematics
JO  - International Journal of Discrete Mathematics
SP  - 17
EP  - 19
PB  - Science Publishing Group
SN  - 2578-9252
UR  - https://doi.org/10.11648/j.dmath.20170201.14
AB  - In this paper, we prove a unique common fixed point theorem for four self-mappings in cone metric spaces by using the continuity and commuting mappings. Our result extends,improvesthe results of [M. Abbas and G. Jungck, Common fixed point results for non commuting mappings without continuity in cone metric spaces, J. Math. Anal. Appl. 341(2008) 416-420].
VL  - 2
IS  - 1
ER  -

Copy | Download

Author Information

K. Prudhvi

Department of Mathematics, University College of Science, Saifabad, Osmania University, Hyderabad, India

Download PDF

Sections

Plain Text BibTeX RIS

APA Style

K. Prudhvi. (2017). Fixed Point Theorem in Cone Metric Space. International Journal of Discrete Mathematics, 2(1), 17-19. https://doi.org/10.11648/j.dmath.20170201.14

Copy | Download

ACS Style

K. Prudhvi. Fixed Point Theorem in Cone Metric Space. Int. J. Discrete Math. 2017, 2(1), 17-19. doi: 10.11648/j.dmath.20170201.14

Copy | Download

AMA Style

K. Prudhvi. Fixed Point Theorem in Cone Metric Space. Int J Discrete Math. 2017;2(1):17-19. doi: 10.11648/j.dmath.20170201.14

Copy | Download

@article{10.11648/j.dmath.20170201.14,
  author = {K. Prudhvi},
  title = {Fixed Point Theorem in Cone Metric Space},
  journal = {International Journal of Discrete Mathematics},
  volume = {2},
  number = {1},
  pages = {17-19},
  doi = {10.11648/j.dmath.20170201.14},
  url = {https://doi.org/10.11648/j.dmath.20170201.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.dmath.20170201.14},
  abstract = {In this paper, we prove a unique common fixed point theorem for four self-mappings in cone metric spaces by using the continuity and commuting mappings. Our result extends,improvesthe results of [M. Abbas and G. Jungck, Common fixed point results for non commuting mappings without continuity in cone metric spaces, J. Math. Anal. Appl. 341(2008) 416-420].},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Fixed Point Theorem in Cone Metric Space
AU  - K. Prudhvi
Y1  - 2017/02/22
PY  - 2017
N1  - https://doi.org/10.11648/j.dmath.20170201.14
DO  - 10.11648/j.dmath.20170201.14
T2  - International Journal of Discrete Mathematics
JF  - International Journal of Discrete Mathematics
JO  - International Journal of Discrete Mathematics
SP  - 17
EP  - 19
PB  - Science Publishing Group
SN  - 2578-9252
UR  - https://doi.org/10.11648/j.dmath.20170201.14
AB  - In this paper, we prove a unique common fixed point theorem for four self-mappings in cone metric spaces by using the continuity and commuting mappings. Our result extends,improvesthe results of [M. Abbas and G. Jungck, Common fixed point results for non commuting mappings without continuity in cone metric spaces, J. Math. Anal. Appl. 341(2008) 416-420].
VL  - 2
IS  - 1
ER  -

Copy | Download