Fixed Points That Are Zeros of a Given Function

Francesca Vetro ()
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Francesca Vetro: Ton Duc Thang University, Nonlinear Analysis Research Group

Chapter Chapter 8 in Advances in Metric Fixed Point Theory and Applications, 2021, pp 157-182 from Springer

Abstract: Abstract We present a discussion on (ordered) S-F-contractions in the setting of complete metric spaces, with and without the ordered approach. S-F-contractions are generalizations of $$(F,\varphi )$$ ( F , φ ) -contractions and $$\mathscr {Z}$$ Z -contractions. These two types of contractions have encountered a great success among the scientific community due to their versatility and usefulness in overcoming different practical situations. A fundamental characteristic of such a kind of contractions is the possibility to be hybridized with other existing conditions to obtain control hypotheses with best performances.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-33-6647-3_8

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DOI: 10.1007/978-981-33-6647-3_8

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