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Common fixed points of ordered g-contractions in partially ordered metric spaces.

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Title: Common fixed points of ordered g-contractions in partially ordered metric spaces.
Authors: Xiao-lan Liu1 stellalwp@163.com
Source: Fixed Point Theory & Applications. Feb2014, Vol. 2014, p1-19. 19p.
Subjects: Fixed point theory, Partially ordered spaces, Metric spaces, Mathematical mappings, Mathematical proofs, Uniqueness (Mathematics)
Abstract: The concept of ordered g-contraction is introduced, and some fixed and common fixed point theorems for g-nondecreasing ordered g-contraction mapping in partially ordered metric spaces are proved. We also show the uniqueness of the common fixed point in the case of an ordered g-contraction mapping. The theorems presented are generalizations of very recent fixed point theorems due to Golubović et al. (Fixed Point Theory Appl. 2012:20, 2012). [ABSTRACT FROM AUTHOR]
Copyright of Fixed Point Theory & Applications is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Common fixed points of ordered g-contractions in partially ordered metric spaces.
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  Data: The concept of ordered g-contraction is introduced, and some fixed and common fixed point theorems for g-nondecreasing ordered g-contraction mapping in partially ordered metric spaces are proved. We also show the uniqueness of the common fixed point in the case of an ordered g-contraction mapping. The theorems presented are generalizations of very recent fixed point theorems due to Golubović et al. (Fixed Point Theory Appl. 2012:20, 2012). [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Fixed Point Theory & Applications is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1186/1687-1812-2014-28
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      – SubjectFull: Metric spaces
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      – SubjectFull: Mathematical mappings
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      – TitleFull: Common fixed points of ordered g-contractions in partially ordered metric spaces.
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