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| Paper IPM / M / 16894 |
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| Abstract: | |
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Let C be a nonempty closed bounded (not necessary convex) subset of a Banach space X and let T : C \to C be an (\alpha,\beta )-nonexpansive mapping with \alpha > 0, \beta > 0 and \alpha +\beta < 1. In this
paper, we show that T has a unique fixed point. Moreover, T is a Picard operator if and only if T is asymptotically regular.
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