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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 57 | Number 1 | Year 2018 | Article Id. IJMTT-V57P504 | DOI : https://doi.org/10.14445/22315373/IJMTT-V57P504

Common Fixed Point for Four Mappings in Cone Metric Space


Monika Verma, Nawneet Hooda
Abstract

The purpose of this paper is to prove some common fixed point theorems for four mappings in cone metric space.

Keywords
Cone metric space, fixed points, weakly compatible maps, coincidence point.
References

[1] C. Di Bari and P. Vetro, some common fixed point in cone metric spaces, „„Rendiconti del Circolo Mathematico di Palermo”, vol. 57(2008) 279-285
[2] H. Mohebi, Topical functions and their properties in a class of ordered Banach spaces, Part II of the book “Continuous optimization, Current Trends and Modern Applications ”,Springer, 2005, 343-361.
[3] H Mohebi and H. Sadeghi, A. M. Rubinow, Best approximations in a class of normed spaces with star-spaces cones, „„Numer. Funct. Anal. Optim”, 27(3-4) (2006),411-436.
[4] L. G. Huang, X. Zhang, Cone metric spaces and fixed point theorem of contractive mappings, „„J. Math . Anal. Appl ”., 332(2) (2007)1468-1476
[5] M. Abbas and B.E. Rhoades, Fixed and Periodic point results in cone metric spaces, „„Appl. Math. Lett ” 22(2009) 511-515
[6] M. Arshad, A. Azam, P. Vetro, Some common fixed point results on cone metric spaces, “Fixed Point Theory Appl.”, (2009)11,Article ID 493965
[7] M. Abbas and G. Jungack, Common fixed point results for non-commuting mapping without continuity in cone metric spaces, “J Math. Anal. Appl.”, 341(2008)416-420
[8] S. Rezapour and R. Halbarani, Some notes on the paper cone metric spaces and fixed point theorem of contractive mappings, “J. Math. Anal. Appl.” 345(2008), 719-724.
[9] K.Prudhvi, A comman fixed point result in cone metric space, “Universal Journal of Computational Mathematics” vol 4(2016),6-9

Citation :

Monika Verma, Nawneet Hooda, "Common Fixed Point for Four Mappings in Cone Metric Space," International Journal of Mathematics Trends and Technology (IJMTT), vol. 57, no. 1, pp. 24-30, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V57P504

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