$$(\psi ,\phi )$$-Wardowski contraction pairs and some applications

Chanda, Ankush; Garai, Hiranmoy; Dey, Lakshmi Kanta; Rakočević, Vladimir; Senapati, Tanusri

doi:10.1007/s40314-021-01679-0

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Some Generalizations 31 Common Fixed Points1

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2022

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“…The condition ( 6), together with property (F1), immediately imply that d(Tx, Ty) < d(Sx, Sy) if Tx ≠ Ty. Further, let x 0 ∈ X be arbitrary and let the respective Picard-Jungck sequence be defined by Results on coincidence and common fixed points under F-contractions were also obtained in [18][19][20][21][22].…”

Section: Some Generalizations 31 Common Fixed Pointsmentioning

confidence: 99%

On F-Contractions: A Survey

Fabiano

Kadelburg

Mirkov

et al. 2022

Contemporary Mathematics

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D. Wardowski proved in 2012 a generalization of Banach Contraction Principle by introducing F-contractions in metric spaces. In the next ten years, a great number of researchers used Wardowski's approach, or some of its modifications, to obtain new fixed point results for single- and multivalued mappings in various kinds of spaces. In this review article, we present a survey of these investigations, including some improvements, in particular concerning conditions imposed on function F entering the contractive condition.

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Section: Some Generalizations 31 Common Fixed Pointsmentioning

confidence: 99%