Introduction with a Brief Historical Survey

Ravi P. Agarwal, Erdal Karapınar, Donal O’Regan and Antonio Francisco Roldán-López- de-Hierro
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Ravi P. Agarwal: Texas A&M University-Kingsville, Department of Mathematics
Erdal Karapınar: Atilim University, Department of Mathematics
Donal O’Regan: National University of Ireland
Antonio Francisco Roldán-López- de-Hierro: University of Granada, Department of Quantitative Methods for Economics and Business

Chapter Chapter 1 in Fixed Point Theory in Metric Type Spaces, 2015, pp 1-4 from Springer

Abstract: Abstract In 1906, Fréchet [78] gave the formal definition of the distance by introducing a function d that assigns a nonnegative real number d(x, y) (the distance between x and y) to every pair (x, y) of elements (points) of a nonempty set X. It is assumed that this function satisfies the following conditions:

Keywords: Historical Survey; Nonnegative Real Numbers; Respective Topologies; Contraction Mapping Theorem (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/978-3-319-24082-4_1

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