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Abstract
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t In this paper, we first define a new pseudo-metric d on a normed linear space X. We do this
by introducing two different classes of elementary topical functions. Next, we use this pseudo-metric d to
investigate the non-expansivity and some properties of topical functions. Finally, the characterizations of fixed
points of topical functions are given, and a relation between the pseudo-metric d and the original norm of the
normed linear space X is presented.
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