Mathematical Analysis and Convex Optimization
آنالیز ریاضی و بهینه سازی محدب
MACO
Basic Sciences
http://maco.lu.ac.ir
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admin
2717-0624
2717-0624
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10.22034
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8888
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jalali
1399
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gregorian
2020
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Optimality Conditions for Solving Nonconvex Set-Valued Equilibrium Problems
Mathematical Analysis
پژوهشي
Research Article
In this paper, sufficient conditions ensuring the existence of solutions for set-valued equilibrium problems are obtained. The convexity assumption on the whole domain is not necessary and just the closure of a quasi-self-segment-dense subset of the domain is convex. Using a KKM theorem and a notion of Q-selected preserving $R_{-}^{*}$-intersection<br>
($R_{-}^{*}$-inclusion) for set-valued mapping, the existence results are proved in real Hausdorff topological vector spaces.
Set-valued equilibrium problem, Quasi-self-segment-dense set, Quasiconvexity, Generalized semicontinuity, Topological vector space.
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http://maco.lu.ac.ir/browse.php?a_code=A-10-43-1&slc_lang=en&sid=1
Somaye
Jafari
s.jafari.math@gmail.com
`1003194753284600505`

1003194753284600505
Yes
Arak University