Fixed Point Theorems via Admissible Mappings

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 7 in Fixed Point Theory in Metric Type Spaces, 2015, pp 175-198 from Springer

Abstract: Abstract In this chapter we explain how to use functions in order to extend the notion of partial order or, more precisely, how non-decreasing mappings can be interpreted involving certain classes of admissible functions. The results we present are inspired by Samet et al. [183].

Keywords: Admissible Functions; Fixed Point Results; Partial Order; Contraction Mapping; Cyclic Contraction (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_7

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DOI: 10.1007/978-3-319-24082-4_7

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