Basic Fixed Point Results in the Setting of 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 4 in Fixed Point Theory in Metric Type Spaces, 2015, pp 51-78 from Springer

Abstract: Abstract The Banach contractive mapping principle Banach contractive mapping principle is the most celebrated result in fixed point theory. The simplicity of its proof and the possibility of attaining the fixed point by using successive approximations makes it a useful tool in analysis and in applied mathematics. In this chapter, we present a variety of fixed (and coincidence) point results in the context of G-metric spaces.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-24082-4_4

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DOI: 10.1007/978-3-319-24082-4_4

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