G-Metric Spaces

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 3 in Fixed Point Theory in Metric Type Spaces, 2015, pp 33-50 from Springer

Abstract: Abstract In this chapter we introduce the concept of G -metric on a set X, and we show some of its basic properties. We provide any G-metric space with a Hausdorff topology in which the notions of convergent and Cauchy sequences will be a key tool in almost all proofs. Later, we will study the close relationships between G-metrics and quasi-metrics.

Keywords: Basic Property; Topological Space; Cauchy Sequence; Geometric Interpretation; Convergent Sequence (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-24082-4_3

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DOI: 10.1007/978-3-319-24082-4_3

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