TRIPLE FIXED POINTS THEOREMS ON CONE BANACH SPACE

Main Article Content

ThokchomChhatrajit Singh

Abstract

We know that every cone normed space is cone metric space. In this note, we generalize the concept of triple fixed point theorems in cone normed space obtained by ErdalKarapinar and Duran Tukolue [1]. 

Keywords: Fixed point theorems, Cone metric space, Triple fixed Points, partially ordered set.

2000 Mathematics Subject Classification: 47H10, 54H25

Downloads

Download data is not yet available.

Article Details

How to Cite
Singh, T. (2014). TRIPLE FIXED POINTS THEOREMS ON CONE BANACH SPACE. Journal of Global Research in Mathematical Archives(JGRMA), 2(4), 43–49. Retrieved from https://jgrma.com/index.php/jgrma/article/view/201
Section
Research Paper

References

E. Karapinar and D. Turkolue, Best Approximate Theorems for a couple in Cone metric space, Fixed Point Theory and Applications, Vol. 2010, doi: 10.1155/2010/784578.

Beride, V., Borcut. M., Triple fixed point theorems for contractive mappings in partially ordered metric space, Nonlinear Anal., 74(2011), pp. 4889-4897.

E. Karapinar, Triple fixed point theorems in partially ordered metric spaces, Stud. Univ. Babes-Bolyai Math. 58(2013), No. 1, 75-85.

H. Aydi, E. Karapinar, Triple fixed points in ordered metric space, Bulletin of Mathematical Analysis and Applications, Vol. 4 (2012), pp 197-207.

L.G Huang and X. Zhang, Cone metric space and fixed point theorems of contractive mappings, Journal of mathematical Analysis and Applications, vol. 332, 2007, pp. 1468-1476.