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Common Fixed Point Theorems for Weakly Compatible Mappings on Cone Banach Space

Krishnadhan Sarkar1 , Kalishankar Tiwary2

  1. Department of Mathematics, Raniganj Girls College, Raniganj, (West Bengal), India.
  2. Department of Mathematics, Raiganj Uniyersity, Raiganj (West Bengal), India.

Correspondence should be addressed to: sarkarkrishnadhan@gmail.com.


Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.2 , pp.75-79, Apr-2018


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i2.7579


Online published on Apr 30, 2018


Copyright © Krishnadhan Sarkar, Kalishankar Tiwary . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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IEEE Style Citation: Krishnadhan Sarkar, Kalishankar Tiwary, “Common Fixed Point Theorems for Weakly Compatible Mappings on Cone Banach Space,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.2, pp.75-79, 2018.

MLA Style Citation: Krishnadhan Sarkar, Kalishankar Tiwary "Common Fixed Point Theorems for Weakly Compatible Mappings on Cone Banach Space." International Journal of Scientific Research in Mathematical and Statistical Sciences 5.2 (2018): 75-79.

APA Style Citation: Krishnadhan Sarkar, Kalishankar Tiwary, (2018). Common Fixed Point Theorems for Weakly Compatible Mappings on Cone Banach Space. International Journal of Scientific Research in Mathematical and Statistical Sciences, 5(2), 75-79.

BibTex Style Citation:
@article{Sarkar_2018,
author = {Krishnadhan Sarkar, Kalishankar Tiwary},
title = {Common Fixed Point Theorems for Weakly Compatible Mappings on Cone Banach Space},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {4 2018},
volume = {5},
Issue = {2},
month = {4},
year = {2018},
issn = {2347-2693},
pages = {75-79},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=622},
doi = {https://doi.org/10.26438/ijcse/v5i2.7579}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v5i2.7579}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=622
TI - Common Fixed Point Theorems for Weakly Compatible Mappings on Cone Banach Space
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Krishnadhan Sarkar, Kalishankar Tiwary
PY - 2018
DA - 2018/04/30
PB - IJCSE, Indore, INDIA
SP - 75-79
IS - 2
VL - 5
SN - 2347-2693
ER -

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Abstract :
The aim of this paper is to obtain coincidence points and common fixed points for eight self-mappings under weakly compatible condition on Cone Banach Space. In theorem 2 and theorem 3 we prove the coincidence points and common fixed points for six and four self-mappings respectively. In this literature our results is a generalization of many existing results.

Key-Words / Index Term :
Coincidence Point, Fixed Point, Compatible Mappings, Weakly Compatible Mappings, Cone Banach Space

References :
[1]. M. Abbas, G. Jungck, Common Fixed Point results for noncommuting mappings without continuity in cone metric space, J. Math. Anal. Appl.,341, 416,2008.
[2]. T. Abdeljawad et al., Common Fixed Point Theorems In Cone Banach Spaces, Hacettepe J. Math. Stat., 40(2), 211-217,2011.
[3]. R. K. Gujetiya et al., Common Fixed Point Theorem for Compatible Mapping on Cone Banach Space, Int. J. Math. Anal., Vol. 8, No. 35, 1697-1706,2014.
[4]. L. G. Huang and X. Zhang, Cone Metric Spaces and Fixed Point Theorems of Contractive Mappings, J. Math. Anal. Appl., 332(2), 1468-1476,2007.
[5]. E. Karapinar, Fixed Point Theorems in Cone Banach Spaces, Fixed Point Theory and Applications, Vol.2009, Article ID 609281,9 pages,2009. doi:10.1155/2009/609281.
[6]. R. Tiwari, D.P.Shukla, Coincidence Points and Common Fixed Points in Cone Banach Spaces, J. Math. Comput. Sci., 2(5), 1464-1474,2012.
[7]. P. G. Varghese, K. S. Dersanambika, Common Fixed Point Theorem on Cone Banach Space, Kathmandu University J. Sci. Eng. Tech., Vol.9, No.1, 127-133, July 2013.

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