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.
 

View this paper at   Google Scholar | DPI Digital Library

XML View     PDF Download

How to Cite this Paper

629 Views    254 Downloads    155 Downloads

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.