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.
CITATION STYLE
Klanarong, C., & Suantai, S. (2015). Coincidence point theorems for some multi-valued mappings in complete metric spaces endowed with a graph. Fixed Point Theory and Applications, 2015(1). https://doi.org/10.1186/s13663-015-0379-1
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