Fixed points of nodal contractions in cone metric spaces
Main Article Content
Abstract
We introduce local power contractions and nodal contractions in cone metric spaces and prove the existence of fixed points of such contractions in cone metric spaces. Our theorems generalize the results of Haung and Zhang [L-G. Haung, X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332 (2007) 1468-1476].
Article Details
How to Cite
Babu, G. V. R., & Alemayehu, G. N. (2011). Fixed points of nodal contractions in cone metric spaces. Tamkang Journal of Mathematics, 42(1), 39–51. https://doi.org/10.5556/j.tkjm.42.2011.595
Issue
Section
Papers
References
L. F. Guseman, JR., Fixed point theorems formappingswith a contractive iterate at a point, Proc. Amer.Math. Soc., 26(1970), 615–618.
L-G. Haung and X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl., 332(2007), 1468–1476.
Sh. Rezapour and R. Hamlbarani, Some notes on the paper “Conemetric spaces and fixed point theorems of contractive mappings", J.Math. Anal. Appl., 345 (2008), 719 -724.
V.M. Sehgal, A fixed point theorem for mappings with a contractive contractive iterate at a point, Proc. Amer.Math. Soc., 23(1969), 631–634.