Best Proximity Point Result for New Type of Contractions in Metric Spaces with a Graph
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Abstract:
In this paper, we introduce a new type of graph contraction using a special class of functions and give a best proximity point theorem for this contraction in complete metric spaces endowed with a graph under two different conditions. We then support our main theorem by a non-trivial example and give some consequences of best proximity point of it for usual graphs.
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Journal title
volume 3 issue 1
pages 65- 73
publication date 2018-04-01
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