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Journals / Results in Nonlinear Analysis / 2022 / Cilt: 5 - Sayı: 1

Remarks on generalized weak KKM multimaps

Sehie PARK
Pages
1–11
Publication Date
2022-03-31
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Some related facts are also discussed.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The concept of generalized KKM maps was initiated by Kassay-Kolumbán in 1990 and Chang-Zhang in 1991.
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Key Findings & Data:Recently, Balaj and his colleagues extended generalized KKM maps w.r.t. a multimap to weak KKM maps and generalized weak KKM maps w.r.t. a multimap and applied them to various problems in the KKM theory.
💡
Conclusion & Impact:Some related facts are also discussed.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Abstract convex space · KKM maps · weak KKM map

Abstract

The concept of generalized KKM maps was initiated by Kassay-Kolumbán in 1990 and Chang-Zhang in 1991. Recently, Balaj and his colleagues extended generalized KKM maps w.r.t. a multimap to weak KKM maps and generalized weak KKM maps w.r.t. a multimap and applied them to various problems in the KKM theory. However, their results are mainly concerned within the realm of topological vector spaces. Our aim in this article is to extend some of them to abstract convex spaces. Some related facts are also discussed.

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Cite This Article

PARK, S. (2022). Remarks on generalized weak KKM multimaps. Results in Nonlinear Analysis, Cilt: 5 - Sayı: 1, 1–11. https://ajindex.com/articles/870417

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