Multidimensional Fixed Point Theorems on 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 11 in Fixed Point Theory in Metric Type Spaces, 2015, pp 249-361 from Springer

Abstract: Abstract In this chapter we introduce several notions of multidimensional fixed points. To prove results, it is usual to consider a number of sequences equal to the dimension of the product space in which the main mapping is defined. Also, using the techniques described in Sect. 10.3 , we will show that most of multidimensional results can be deduced from the corresponding unidimensional result in G ∗-metric spaces.

Keywords: Unidimensional Results; Multidimensional Outcome; Mixed Monotone Property; Coupled Fixed Point Theorems; Borcut (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_11

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DOI: 10.1007/978-3-319-24082-4_11

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