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Keywords = (α, β, F*) and (α, β, F**)-weak Geraghty contractions

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17 pages, 326 KB  
Article
Fixed Points of (α, β, F*) and (α, β, F**)-Weak Geraghty Contractions with an Application
by Khairul Habib Alam, Yumnam Rohen and Naeem Saleem
Symmetry 2023, 15(1), 243; https://doi.org/10.3390/sym15010243 - 16 Jan 2023
Cited by 24 | Viewed by 3894
Abstract
This study aims to provide some new classes of (α,β,F*)-weak Geraghty contraction and (α,β,F**)-weak Geraghty contraction, which are self-generalized contractions on any metric space. Furthermore, we [...] Read more.
This study aims to provide some new classes of (α,β,F*)-weak Geraghty contraction and (α,β,F**)-weak Geraghty contraction, which are self-generalized contractions on any metric space. Furthermore, we find that the mappings satisfying the definition of such contractions have a unique fixed point if the underlying space is complete. In addition, we provide an application showing the uniqueness of the solution of the two-point boundary value problem. Full article
(This article belongs to the Special Issue Elementary Fixed Point Theory and Common Fixed Points)
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