• fixed point theorems for convex contraction mappings on cone metric spaces

    جزئیات بیشتر مقاله
    • تاریخ ارائه: 1392/07/24
    • تاریخ انتشار در تی پی بین: 1392/07/24
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     in 2007, huang and zhang [l.g. huang, x. zhang, cone metric spaces and fixed point theorems of contractive mappings, j. math. anal. appl. 332 (2007) 1468–1476] rediscovered normal cone metric spaces and obtained the banach contraction principle for this setting. later on, rezapour and hamlbarani [sh. rezapour, r. hamlbarani, some notes on the paper: cone metric spaces and fixed point theorems of contractive mappings, j. math. anal. appl. 345 (2008) 719–724] showed that there are non-normal cones and that the assumption of normality is redundant.

    in this paper, we obtain a generalization of the banach contraction principle to the class of convex contractions on non-normal cone metric spaces. our result includes, as special cases, the recent results of huang and zhang (2007) [2] and rezapour and hamlbarani (2008) [3].

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