Nonexpansive Mappings: Boundary/Inwardness Conditions and Local Theory

W. A. Kirk () and C. H. Morales ()
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W. A. Kirk: The University of Iowa, Department of Mathematics
C. H. Morales: University of Alabama in Huntsville, Department of Mathematics

Chapter Chapter 10 in Handbook of Metric Fixed Point Theory, 2001, pp 299-321 from Springer

Abstract: 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.

Keywords: Banach Space; Open Subset; Fixed Point Theorem; Nonexpansive Mapping; Cauchy Sequence (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1007/978-94-017-1748-9_10

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