Fixed Point Theorem in Cone Metric Space

K. Prudhvi

doi:doi:10.11648/j.dmath.20170201.14

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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

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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), 2024. 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.

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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

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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

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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

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@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}
}

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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
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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
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Author Information

K. Prudhvi

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

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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