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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
An example is given to illustrate our result.
📌 3 Key Takeaways
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Objective & Hypothesis:Recently, Reich and Zaslavski [S.
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Key Findings & Data:Zaslavski, Convergence of Inexact Iterative Schemes for Nonexpansive Set-Valued Mappings, Fixed Point Theory Appl. 2010 (2010), Article ID 518243, 10 pages] have studied a new inexact iterative scheme for fixed points of contractive multifunctions.
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Conclusion & Impact:An example is given to illustrate our result.
🔬Design:Research Article
📍Scope:2010 Verileri
⚙️Variables:Fixed point · contractive multifunctions · partial metric spaces
Abstract
Recently, Reich and Zaslavski [S. Reich and A.J. Zaslavski, Convergence of Inexact Iterative Schemes for Nonexpansive Set-Valued Mappings, Fixed Point Theory Appl. 2010 (2010), Article ID 518243, 10 pages] have studied a new inexact iterative scheme for fixed points of contractive multifunctions. In this paper, using the partial Hausdorff metric introduced by Aydi et al., we prove an analogous to a result of Reich and Zaslavski for contractive multifunctions in the setting of partial metric spaces. An example is given to illustrate our result.
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Cite This Article
VETRO, P., PAESANO, D. (2022). Approximation of fixed points of multifunctions in partial metric spaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 1, 111–119. https://ajindex.com/articles/530286