Coincidence point theorems for some multi-valued mappings in complete metric spaces endowed with a graph

被引：0
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作者：
Chalongchai Klanarong
Suthep Suantai
机构：
[1] Chiang Mai University,Department of Mathematics, Faculty of Science
来源：
Fixed Point Theory and Applications | / 2015卷
关键词：
fixed point; coupled fixed point; multi-valued mappings; partially ordered set; graph-preserving; 47H10; 54H25;
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摘要：
In this paper, we introduce the concepts of weak g-graph-preserving for multi-valued mappings and weak G-contractions in a metric space endowed with a directed graph. We establish the coincidence point theorems for this type of mappings in a complete metric space endowed with a directed graph. Examples illustrating our main results are also presented. Our results extend and generalize various known results in the literature.
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