b-Metric Spaces

William Kirk and Naseer Shahzad
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William Kirk: University of Iowa, Department of Mathematics
Naseer Shahzad: King Abdulaziz University, Department of Mathematics

Chapter Chapter 12 in Fixed Point Theory in Distance Spaces, 2014, pp 113-131 from Springer

Abstract: Abstract In 1993 another axiom for semimetric spaces, which is weaker than the triangle inequality, was put forth by Czerwik [58] with a view of generalizing the Banach contraction mapping theorem. This same relaxation of the triangle inequality is also discussed in Fagin et al. [79], who call this new distance measure nonlinear elastic matching (NEM). The authors of that paper remark that this measure has been used, for example, in [55] for trademark shapes and in [153] to measure ice floes. Later Q.

Keywords: Triangle Inequality; Comparison Function; Unique Fixed Point; Quasimetric Space; Picard Operator (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-319-10927-5_12

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