Common fixed point of a power graphic contraction pair in partial metric spaces endowed with a graph

被引：0
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作者：
Mujahid Abbas
Talat Nazir
机构：
[1] Lahore University of Management Sciences,Department of Mathematics
[2] COMSATS Institute of Information Technology,Department of Mathematics
来源：
Fixed Point Theory and Applications | / 2013卷
关键词：
partial metric space; common fixed point; directed graph; power graphic contraction pair;
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摘要：
In this paper, we initiate a study of fixed point results in the setup of partial metric spaces endowed with a graph. The concept of a power graphic contraction pair of two mappings is introduced. Common fixed point results for such maps without appealing to any form of commutativity conditions defined on a partial metric space endowed with a directed graph are obtained. These results unify, generalize and complement various known comparable results from the current literature.
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