Abstract
Till recent years, the Euclidean metric has been used to study the results pertaining to the digital images. Boxer [4] had suggested the use of path length metric for digital images as it is more appropriate compared to any other metric. In this paper, we define the path length metric in a different manner. Also, we derive the fixed point results for mappings satisfying quasi-contraction constraint using the same. As an application to the digital image processing, the path length metric is used to obtain the boundary of a given digital image and an algorithm for the same is demonstrated.
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