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Endpoints of multi-valued weakly contraction in complete metric spaces endowed with graphs
2017
Filomat
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In this paper, we introduce a new concept of weak G-contraction for multi-valued mappings on a metric space endowed with a directed graph. Endpoint theorem of this mapping is established under some sufficient conditions in a complete metric space endowed with a directed graph. Our main results extend and generalize those fixed point in partially ordered metric spaces. Some examples supporting our main results are also given. Moreover, we apply our main results to obtain some coupled fixed point
doi:10.2298/fil1714319t
fatcat:rhazk6zkdvch7gpss4mvhkzjwm