Fixed point theorems in orbitally 0-complete partial metric spaces via rational contractive conditions
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Author list: Nashine H.K., Sintunavarat W., Kadelburg Z., Kumam P.
Publisher: Springer
Publication year: 2015
Journal: Afrika Matematica (1012-9405)
Volume number: 26
Issue number: #
Start page: 1121
End page: 1136
Number of pages: 16
ISSN: 1012-9405
eISSN: 2190-7668
Languages: English-Great Britain (EN-GB)
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Abstract
We prove a fixed point result in orbitally $$0$$0-complete partial metric spaces, using a variant of almost contractive condition that involves a rational expression. Also, a common fixed point result in $$0$$0-complete partial metric spaces is obtained. Several consequences are deduced and examples are presented, showing that the given result can be used for proving the existence of (common) fixed points when some known results fail. ฉ 2014, African Mathematical Union and Springer-Verlag Berlin Heidelberg.
Keywords
Orbitally complete space
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