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

Fixexd point theory and applications

Talat Nazir¹  Mujahid Abbas² 

[1] Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan;Department of Mathematics, Lahore University of Management Sciences, Lahore, Pakistan

关键词: partial metric space;    common fixed point;    directed graph;    power graphic contraction pair;   

DOI  :  10.1186/1687-1812-2013-20

学科分类：数学（综合）

来源: SpringerOpen

【 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. MSC:47H10, 54H25, 54E50.

【 授权许可】

CC BY