Open AccessFixed and periodic point theorems for T-contractions on cone metric spaces
Author(s) -
Hamidreza Rahimi,
Β. E. Rhoades,
Stojan Radenović,
Ghasem Soleimani Rad
Publication year - 2013
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1305881r
Subject(s) - mathematics , metric space , cone (formal languages) , fixed point theorem , fixed point , pure mathematics , contraction (grammar) , convex metric space , mathematical analysis , discrete mathematics , algorithm , medicine
Recently, Filipovic et al. [M. Filipovic, L. Paunovic, S. Radenovic, M. Rajovic, Remarks on 'Cone metric spaces and fixed point theorems of T-Kannan and T-Chatterjea contractive mappings', Math. Comput. Modelling. 54 (2011) 1467-1472] proved several fixed and periodic point theorems for solid cones on cone metric spaces. In this paper several fixed and periodic point theorems for T-contraction of two maps on cone metric spaces with solid cone are proved. The results of this paper extend and generalize well-known comparable results in the literature.
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