Results 21 to 30 of about 571 (43)
Characterizations of Super-regularity and its Variants
, 2018 Convergence of projection-based methods for nonconvex set feasibility problems has been established for sets with ever weaker regularity assumptions.
A Daniilidis +10 more
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Existence and uniqueness for Mean Field Games with state constraints
, 2017 In this paper, we study deterministic mean field games for agents who operate in a bounded domain. In this case, the existence and uniqueness of Nash equilibria cannot be deduced as for unrestricted state space because, for a large set of initial ...
J-M Lasry +8 more
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Advances in Nonlinear AnalysisIn this study, we deal with a multivalued elliptic variational inequality involving a logarithmic perturbed variable exponents double-phase operator. Additionally, it features a multivalued convection term alongside two multivalued terms, one defined ...
Cen Jinxia +3 more
doaj +1 more source
A generalized fixed-point theorem for set-valued mappings in b-metric spaces
Open MathematicsThe aim of this article is to present a local generalized fixed-point theorem for set-valued mappings in b-metric spaces, which brings together the framework of different (such as Nadler’s and Kannan’s) fixed-point theorems.
Zhang Binbin, Yin Chenhao, Zhou Chang
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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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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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Higher-Order Optimality Conditions in Set-Valued Optimization with Respect to General Preference Mappings. [PDF]
Set Valued Var Anal, 2022 Michalak A, Studniarski M.
europepmc +1 more source
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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Surjectivity in Fr\'echet spaces
, 2019 We prove surjectivity result in Fr\'echet spaces of Nash-Moser type. That is, with uniform estimates over all semimorms. Our method works for functions which are only continuous and G\^ateaux differentiable like in the recent result of Ekeland.
Ivanov, Milen, Zlateva, Nadia
core
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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