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Distance in cone metric spaces and common fixed point theorems

โœ Scribed by Shenghua Wang; Baohua Guo


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
216 KB
Volume
24
Category
Article
ISSN
0893-9659

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โœฆ Synopsis


In this paper, we define a distance called c-distance on a cone metric space and prove a new common fixed point theorem by using the distance.


๐Ÿ“œ SIMILAR VOLUMES


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In the present work, some fixed point and common fixed point theorems for self-maps on ordered cone metric spaces, where the cone is not necessarily normal, are proved.

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a b s t r a c t In the first part of this paper we generalize results on common fixed points in ordered cone metric spaces obtained by I. Altun and G. Durmaz [I. Altun, G. Durmaz, Some fixed point theorems on ordered cone metric spaces, Rend. Circ. Mat. Palermo, 58 (

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The notion of coupled fixed point is introduced by Bhaskar and Lakshmikantham ( 2006) in [13]. In this manuscript, some results of Lakshmikantham and ฤ†iriฤ‡ (2009) in [5] are extended to the class of cone metric spaces.