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Nonexpansive Mappings: Boundary/Inwardness Conditions and Local Theory

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Abstract

Boundary and inwardness conditions have been particularly useful in extending fixed point theory for nonexpansive mappings to broader classes of mappings, particularly to mappings satisfying local contractive and pseudocontractive assumptions. At the same time these conditions often enable one to relax the assumption that the mapping takes values in its own domain.

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Kirk, W.A., Morales, C.H. (2001). Nonexpansive Mappings: Boundary/Inwardness Conditions and Local Theory. In: Kirk, W.A., Sims, B. (eds) Handbook of Metric Fixed Point Theory. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1748-9_10

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  • DOI: https://doi.org/10.1007/978-94-017-1748-9_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5733-4

  • Online ISBN: 978-94-017-1748-9

  • eBook Packages: Springer Book Archive

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