Metric Environment of the Topological Fixed Point Theorems

Kazimierz Goebel ()
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Kazimierz Goebel: Maria Curie-Skłodowska University

Chapter Chapter 17 in Handbook of Metric Fixed Point Theory, 2001, pp 577-611 from Springer

Abstract: Abstract In metric fixed point theory the term the fixed point property is usually related to a certain class of mappings described by some metric conditions. In topological part of the theory however, we use this term with respect to the wide class of spaces and families of continuous transformations. Let us begin with recalling the classical definition and facts.

Keywords: Hilbert Space; Banach Space; Unit Ball; Nonexpansive Mapping; Lipschitzian Mapping (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1007/978-94-017-1748-9_17

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