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A Fixed Point Theorem of Expanding onto Mappings in Generalized Contractive Condition in Complete Cone Metric Spaces
Current Issue
Volume 3, 2015
Issue 3 (June)
Pages: 89-91   |   Vol. 3, No. 3, June 2015   |   Follow on         
Paper in PDF Downloads: 26   Since Aug. 28, 2015 Views: 1455   Since Aug. 28, 2015
Authors
[1]
K. Prudhvi, Department of Mathematics, University College of Science, Saifabad, Osmania University, Hyderabad, Telangana State, India.
Abstract
In this paper, we prove a fixed point theorem of expanding onto mappings in generalized contractive condition in complete cone metric spaces. Our result improves and extends results of X. Huang, Ch. Zhu and Xi Wen [X. Huang, Ch. Zhu and Xi Wen, Fixed point theorems for expanding mappings in cone metric spaces, Math Reports 14(64),2(2012),141-148].
Keywords
Cone Metric Space, Fixed Point, Expanding Mapping
Reference
[1]
L. G. Huang, X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332(2) (2007)1468-1476.
[2]
M. Abbas and G. Jungck, Common fixed point results for non commuting mappings without continuity in cone metric spaces, Math. Anal. Appl. 341(2008) 416-420.
[3]
D. IIic, V. Rakocevic, Common fixed points for maps on conemetric space, J. Math. Anal. Appl. 341(2008) 876-886.
[4]
K. Prudhvi, Coincidence Points for expansive maps in cone metric space, Open Science Journal of Mathematics and Application, 3(3) (2015),63-66.
[5]
M. Rangamma and K. Prudhvi, Common fixed points under contractive conditions for three maps in cone metric spaces, Bulletin of Mathematical Analysis and Applications, Volume 4 Issue 1 (2012) 174-180.
[6]
Sh. Rezapour and R. Hamlbarani, Some notes on the paper cone metric spaces and fixed point theorem of contractive mappings , J. Math. Anal. Appl. 345(2008), 719-724.
[7]
P. Vetro, Common fixed points in cone metric spaces, Rend. Circ. Mat. Palermo (2)LVI (2007), 464-468.
[8]
S. Z. Wang, B. Y. Li, Z. M. Gao and K. Iseki, Some fixed point theorems for expansion mappings, Math. Japon 29(1984),631-636.
[9]
P.Z.Daffer and H. Kaneko, On expansive mappings, Math. Japon 37 (1992), 733-735.
[10]
X. Huang, Ch. Zhu and Xi Wen, Fixed point theorems for expanding mappings in cone metric spaces, Math Reports 14(64),2(2012),141-148.
[11]
G. Jungck, S. Radenovic and V. Rakocevic, Common fixed point theorems for weakly compatible pairs on cone metric spaces, Fixed Point Theory Appl. Volume 2009, Article ID 643840, 13 pages.
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