Keywords:-

Keywords: Complex valued metric space, -pair, weakly compatible mappings, common fixed point. 2010 Mathematics Subject Classification: 54H25, 47H10.

Article Content:-

Abstract

We define the concept of -mappings and prove a common fixed point theorem for a -pair in complex valued metric spaces.

References:-

References

A. Azam, F.Brian, M. Khan, Common fixed point theorems in complex valued metric spaces, Numer.

Funct. Anal. Optim., 32 (2011), 243-253.

C.T.Aage and J.N.Salunke, Some fixed point theorems for expansion onto mappings on cone metric

spaces, Acta Mathematica Sinica, English Series, 27 (2011), 1101-1106.

C.Di Bari, P.Vetro, -Pairs and common fixed points in cone metric spaces, Rendi-conti del CircoloMatematico di Palermo, 57 (2008), 279-285.

L.-G. Huang, X. Zhang , Cone metric spaces and fixed point theorems of contractive mappings, J. Math.

Anal. Appl., 332 (2007), 1468-1476.

G.Jungck, Compatible mappings and common fixed points, International Journal of Mathematics and

Mathematical Sciences, 9 (1986), 771-779.

G.Jungck, Common fixed points of commuting and compatible maps on compacta, Proc. Am. Math. Soc,

(1988), 977-983.

G.Jungck, Common fixed points for non-continuous nonself mappings on a non-numeric spaces, Far East

J. Math. Sci., 4 (1996), 199-212.

W.A. Kirk, Some recent results in metric fixed point theory, J. Fixed Point Theory Appl., 2 (2007),

-207.

Z.Mustafa and B.Sims, A new approach to generalized metric spaces, Journal of Nonlinear and convex

Analysis, 7 (2006), 289-297.

M.Öztürk and M.Basarir, On some common fixed point theorems with -maps on G-cone metric

spaces, Bulletin of Mathematical Analysis and Applications, 3(2011), 121-133.

F.Sabetghadam and H.P.Masiha, Common fixed points for generalized ϕ-pair mappings on cone metric

spaces, Fixed Point Theory and Applications, 2010(2010), Article ID 718340, 8 pages.

W. Sintunavarat and P. Kumam, Generalized common fixed point theorems in complex valued metric

spaces with applications, Journal of Inequalities and Applications, doi:10.1186/1029-242X-2012-84.

Downloads

Citation Tools

How to Cite
Mohanta, S. K., & Maitra, R. (2013). Common Fixed Points for -pairs in Complex Valued Metric Spaces. International Journal Of Mathematics And Computer Research, 1(09), 251-256. Retrieved from http://ijmcr.in/index.php/ijmcr/article/view/229