An Extension of a Fixed Point Result in Cone Banach Space

Elvin Rada; Agron Tato

doi:doi:10.11648/j.pamj.20150403.12

| Peer-Reviewed |

An Extension of a Fixed Point Result in Cone Banach Space

Elvin Rada, Agron Tato

Received: 3 April 2015 Accepted: 14 April 2015 Published: 24 April 2015

Views: Downloads:

Download PDF

Share This Article

Twitter
Linked In
Facebook

Abstract

In this paper we study a class of mappings in a ConeBanach Space which have at least one fixed point. More precisely for a closed and convex subset C of a cone Banach space with a generalized norm that satisfy a special condition. We are proposing some extensions of the results of Karapinar.

DOI	10.11648/j.pamj.20150403.12
Published in	Pure and Applied Mathematics Journal (Volume 4, Issue 3, June 2015)
Page(s)	70-74
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

Fixed Point, Contraction, Cone Banach Space

References

[1]	Rzepecki, B., “On fixed point theorems of Maia type,” Publications de l’InstitutMath´ematique, vol. 28_42_, pp. 179–186, 1980.
[2]	Maia, M.G., “Un’osservazionesullecontrazionimetriche,” RendicontidelSeminarioMatematicodellaUniversit`a di Padova, vol. 40, pp. 139–143, 1968.
[3]	Lin, S. D., “A common fixed point theorem in abstract space” Indian Journal of Pure and Applied Mathematics. Vol. 18, no.8, pp. 685-690.1987
[4]	Huang L,-G., Zhang, X., “Cone metric spaces and fixed point theorems of contractive mappings,”Journal of Mathematical Analysis and Applications, vol. 332, no. 2, pp. 1468–1476, 2007
[5]	Karapinar, E., Fixed point theorems in Cone Banach Spaces. Hindawi Publishing Company. Vol. 2009.Article ID 609281, 9 pages.
[6]	Rezapour Sh., and Hamlbarani, R., “Some notes on the paper: “Cone metric spaces and fixed point theorems of contractive mappings”,” Journal of Mathematical Analysis and Applications, vol. 345, no. 2, pp. 719–724, 2008.
[7]	Turkoglu, D., Abuloha, M., and Abdeljawad, T., “KKM mappings in cone metric spaces and some fixed point theorems,” Nonlinear Analysis: Theory, Methods & Applications, vol. 72, no. 1, pp. 348–353, 2010.
[8]	[8]Sahin I., Telci, M., “Fixed points of contractive mappings on complete cone metric spaces,” Hacettepe Journal of Mathematics and Statistics, vol. 38, no. 1, pp. 59–67, 2009.
[9]	Suzuki, T., “Fixed point theorems and convergence theorems for some generalized nonexpansive mappings,” Journal of Mathematical Analysis and Applications, vol. 340, no. 2, pp. 1088–1095, 2008. Fixed Point Theory and Applications 9.
[10]	Deimling, K., Nonlinear Functional Analysis, Springer, Berlin, Germany, 1985.
[11]	Abdeljawad T., Karapinar, E., “Quasicone Metric Spaces and Generalizations of Caristi Kirk’s Theorem,” Fixed Point Theory and Applications, vol. 2009, p. 9 page, 2009.
[12]	Nieto, J. J., Rodrigez-Lopez, R., “Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations” ActaMathematicaSinica, vol.23, no.12, pp.2205-2212, 2007.

Cite This Article

Plain Text BibTeX RIS

APA Style

Elvin Rada, Agron Tato. (2015). An Extension of a Fixed Point Result in Cone Banach Space. Pure and Applied Mathematics Journal, 4(3), 70-74. https://doi.org/10.11648/j.pamj.20150403.12

Copy | Download

ACS Style

Elvin Rada; Agron Tato. An Extension of a Fixed Point Result in Cone Banach Space. Pure Appl. Math. J. 2015, 4(3), 70-74. doi: 10.11648/j.pamj.20150403.12

Copy | Download

AMA Style

Elvin Rada, Agron Tato. An Extension of a Fixed Point Result in Cone Banach Space. Pure Appl Math J. 2015;4(3):70-74. doi: 10.11648/j.pamj.20150403.12

Copy | Download

@article{10.11648/j.pamj.20150403.12,
  author = {Elvin Rada and Agron Tato},
  title = {An Extension of a Fixed Point Result in Cone Banach Space},
  journal = {Pure and Applied Mathematics Journal},
  volume = {4},
  number = {3},
  pages = {70-74},
  doi = {10.11648/j.pamj.20150403.12},
  url = {https://doi.org/10.11648/j.pamj.20150403.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20150403.12},
  abstract = {In this paper we study a class of mappings in a ConeBanach Space which have at least one fixed point. More precisely for a closed and convex subset C of a cone Banach space with a generalized norm that satisfy a special condition. We are proposing some extensions of the results of Karapinar.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - An Extension of a Fixed Point Result in Cone Banach Space
AU  - Elvin Rada
AU  - Agron Tato
Y1  - 2015/04/24
PY  - 2015
N1  - https://doi.org/10.11648/j.pamj.20150403.12
DO  - 10.11648/j.pamj.20150403.12
T2  - Pure and Applied Mathematics Journal
JF  - Pure and Applied Mathematics Journal
JO  - Pure and Applied Mathematics Journal
SP  - 70
EP  - 74
PB  - Science Publishing Group
SN  - 2326-9812
UR  - https://doi.org/10.11648/j.pamj.20150403.12
AB  - In this paper we study a class of mappings in a ConeBanach Space which have at least one fixed point. More precisely for a closed and convex subset C of a cone Banach space with a generalized norm that satisfy a special condition. We are proposing some extensions of the results of Karapinar.
VL  - 4
IS  - 3
ER  -

Copy | Download

Author Information

Elvin Rada

Department of Mathematics, Facultyof Natural Sciences, University of Elbasan, Elbasan, Albania
Agron Tato

Department of Mathematics, Polytechnic University of Tirana, Tirana, Albania

Download PDF

Sections

Plain Text BibTeX RIS

APA Style

Elvin Rada, Agron Tato. (2015). An Extension of a Fixed Point Result in Cone Banach Space. Pure and Applied Mathematics Journal, 4(3), 70-74. https://doi.org/10.11648/j.pamj.20150403.12

Copy | Download

ACS Style

Elvin Rada; Agron Tato. An Extension of a Fixed Point Result in Cone Banach Space. Pure Appl. Math. J. 2015, 4(3), 70-74. doi: 10.11648/j.pamj.20150403.12

Copy | Download

AMA Style

Elvin Rada, Agron Tato. An Extension of a Fixed Point Result in Cone Banach Space. Pure Appl Math J. 2015;4(3):70-74. doi: 10.11648/j.pamj.20150403.12

Copy | Download

@article{10.11648/j.pamj.20150403.12,
  author = {Elvin Rada and Agron Tato},
  title = {An Extension of a Fixed Point Result in Cone Banach Space},
  journal = {Pure and Applied Mathematics Journal},
  volume = {4},
  number = {3},
  pages = {70-74},
  doi = {10.11648/j.pamj.20150403.12},
  url = {https://doi.org/10.11648/j.pamj.20150403.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20150403.12},
  abstract = {In this paper we study a class of mappings in a ConeBanach Space which have at least one fixed point. More precisely for a closed and convex subset C of a cone Banach space with a generalized norm that satisfy a special condition. We are proposing some extensions of the results of Karapinar.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - An Extension of a Fixed Point Result in Cone Banach Space
AU  - Elvin Rada
AU  - Agron Tato
Y1  - 2015/04/24
PY  - 2015
N1  - https://doi.org/10.11648/j.pamj.20150403.12
DO  - 10.11648/j.pamj.20150403.12
T2  - Pure and Applied Mathematics Journal
JF  - Pure and Applied Mathematics Journal
JO  - Pure and Applied Mathematics Journal
SP  - 70
EP  - 74
PB  - Science Publishing Group
SN  - 2326-9812
UR  - https://doi.org/10.11648/j.pamj.20150403.12
AB  - In this paper we study a class of mappings in a ConeBanach Space which have at least one fixed point. More precisely for a closed and convex subset C of a cone Banach space with a generalized norm that satisfy a special condition. We are proposing some extensions of the results of Karapinar.
VL  - 4
IS  - 3
ER  -

Copy | Download