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Keywords = Reich G-contraction

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13 pages, 749 KB  
Article
Fixed Points of g-Interpolative Ćirić–Reich–Rus-Type Contractions in b-Metric Spaces
by Youssef Errai, El Miloudi Marhrani and Mohamed Aamri
Axioms 2020, 9(4), 132; https://doi.org/10.3390/axioms9040132 - 16 Nov 2020
Cited by 8 | Viewed by 2867
Abstract
We use interpolation to obtain a common fixed point result for a new type of Ćirić–Reich–Rus-type contraction mappings in metric space. We also introduce a new concept of g-interpolative Ćirić–Reich–Rus-type contractions in b-metric spaces, and we prove some fixed point results [...] Read more.
We use interpolation to obtain a common fixed point result for a new type of Ćirić–Reich–Rus-type contraction mappings in metric space. We also introduce a new concept of g-interpolative Ćirić–Reich–Rus-type contractions in b-metric spaces, and we prove some fixed point results for such mappings. Our results extend and improve some results on the fixed point theory in the literature. We also give some examples to illustrate the given results. Full article
(This article belongs to the Special Issue Fixed Point Theory and Its Related Topics II)
17 pages, 292 KB  
Article
On Some New Results in Graphical Rectangular b-Metric Spaces
by Pravin Baradol, Jelena Vujaković, Dhananjay Gopal and Stojan Radenović
Mathematics 2020, 8(4), 488; https://doi.org/10.3390/math8040488 - 1 Apr 2020
Cited by 8 | Viewed by 2714
Abstract
In this paper, we provide an approach to establish the Banach contraction principle (for the case λ [ 0 , 1 ) ) , Edelstein, Reich, and Meir–Keeler type contractions in the context of graphical rectangular b-metric space. The obtained results [...] Read more.
In this paper, we provide an approach to establish the Banach contraction principle (for the case λ [ 0 , 1 ) ) , Edelstein, Reich, and Meir–Keeler type contractions in the context of graphical rectangular b-metric space. The obtained results not only enrich and improve recent fixed point theorems of this new metric spaces but also provide positive answers to the questions raised by Mudasir Younis et al. (J. Fixed Point Theory Appl., doi:10.1007/s11784-019-0673-3, 2019). Full article
(This article belongs to the Special Issue Quantum Algebras and Operator Theory)
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