A simple case within Nash-Moser-Ekeland theory
, 2018 We present simple and direct proof to an important case of Nash-Moser-Ekeland theorem.Comment: In this third version we have made numerous improvements inspired by the referee, like correcting the definition of directional derivative to the standard ...
Ivanov, Milen, Zlateva, Nadia
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Higher-Order Optimality Conditions in Set-Valued Optimization with Respect to General Preference Mappings. [PDF]
Set Valued Var Anal, 2022 Michalak A, Studniarski M.
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Robust Necessary Optimality Conditions for Nondifferentiable Complex Fractional Programming with Uncertain Data. [PDF]
J Optim Theory Appl, 2021 Chen J +4 more
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On constrained set-valued optimization [PDF]
The set-valued optimization problem minC F(x), G(x)\(-K) 6= ; is considered, where F : Rn Rm and G : Rn Rp are set-valued functions, and C Rm and K Rp are closed convex cones.
Ginchev Ivan, Rocca Matteo
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Quasi-Relative Interiors for Graphs of Convex Set-Valued Mappings
, 2018 This paper aims at providing further studies of the notion of quasi-relative interior for convex sets introduced by Borwein and Lewis. We obtain new formulas for representing quasi-relative interiors of convex graphs of set-valued mappings and for convex
Mordukhovich, Boris S. +2 more
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Hybrid proximal linearized algorithm for the split DC program in infinite-dimensional real Hilbert spaces. [PDF]
J Inequal Appl, 2018 Chuang CS, Yang PJ.
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On uniform regularity and strong regularity. [PDF]
Optimization, 2019 Cibulka R, Preininger J, Roubal T.
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A new method of proof of Filippov’s theorem based on the viability theorem
Open Mathematics, 2012 Plaskacz Sławomir +1 more
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Existence and Hadamard well-posedness of a system of simultaneous generalized vector quasi-equilibrium problems. [PDF]
J Inequal Appl, 2017 Zhang W, Zeng J.
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Metric subregularity of order q and the solving of inclusions
Open Mathematics, 2011 Gaydu Michaël +2 more
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