Fixed point theory in cone metric spaces obtained via the scalarization method

Motivated by the scalarization method in vector optimization theory, we take a new approach to fixed point theory on cone metric spaces. By using our method we prove some fixed point theorems and several common fixed point theorems on cone metric spaces in which the cone need not be normal. Our resu...

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Bibliographic Details
Published inComputers & mathematics with applications (1987) Vol. 59; no. 11; pp. 3529 - 3534
Main Authors Amini-Harandi, A., Fakhar, M.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.06.2010
Subjects
Cone metric space
Fixed point
Mathematical analysis
Mathematical models
Metric space
Optimization
Ordered Banach space
Scalarization method
Theorems
Vectors (mathematics)
Scalarization method
Ordered Banach space
Cone metric space
Fixed point
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Summary:Motivated by the scalarization method in vector optimization theory, we take a new approach to fixed point theory on cone metric spaces. By using our method we prove some fixed point theorems and several common fixed point theorems on cone metric spaces in which the cone need not be normal. Our results improve and generalize many well-known results from the literature.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2010.03.046