Type: Article
Fixed point theory for generalized contractions in cone metric spaces
Journal: Communications in Nonlinear Science and Numerical Simulation (10075704)Year: February 2012Volume: 17Issue: Pages: 708 - 712
DOI:10.1016/j.cnsns.2011.01.016Language: English
Abstract
In this paper, we prove some fixed point theorems for generalized contractions in cone metric spaces. Our theorems extend some results of Suzuki (2008) [T. Suzuki, A generalized Banach contraction principle that characterizes metric completeness, Proc Amer Math Soc 136(5) (2008), 1861-1869] and Kikkawa and Suzuki (2008) [M. Kikkawa and T. Suzuki, Three fixed point theorems for generalized contractions with constants in complete metric spaces, Nonlinear Anal 69(9) (2008), 2942-2949]. © 2011 Elsevier B.V.
Author Keywords
Cone metric spaceFixed pointHausdorff metricSet-valued maps
Other Keywords
Fixed point arithmeticFunctional analysisSet theoryBanach contraction principleComplete metric spaceCone metric spacesFixed point theoryFixed pointsFixed points theoremsHausdorff metricSet-valued mapTopology