Results 31 to 40 of about 622 (75)

On moving averages [PDF]

, 2012
We show that the moving arithmetic average is closely connected to a Gauss-Seidel type fixed point method studied by Bauschke, Wang and Wylie, and which was observed to converge only numerically.
Bauschke, Heinz H., Sarada, Joshua, Wang, Xianfu   +2 more
core  

Existence results of variable exponent double-phase multivalued elliptic inequalities with logarithmic perturbation and convections

Advances in Nonlinear Analysis
In 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, Lu Yasi, Vetro Calogero, Zeng Shengda   +3 more
doaj   +1 more source

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, J-M Lasry, J-M Lasry, Jean-David Benamou, JP Aubin, M Huang, M Huang, P Cardaliaguet, S Kakutani   +8 more
core   +1 more source

Weak Minimizers, Minimizers and Variational Inequalities for set valued Functions. A blooming wreath?

, 2016
In the literature, necessary and sufficient conditions in terms of variational inequalities are introduced to characterize minimizers of convex set valued functions with values in a conlinear space.
Crespi, Giovanni P., Schrage, Carola
core   +1 more source

A Unified Approach to Convex and Convexified Generalized Differentiation of Nonsmooth Functions and Set-Valued Mappings [PDF]

, 2013
In the early 1960's, Moreau and Rockafellar introduced a concept of called \emph{subgradient} for convex functions, initiating the developments of theoretical and applied convex analysis. The needs of going beyond convexity motivated the pioneer works by
Boris Mordukhovich, Dedicated Professor, Nguyen Dinh Hoang, Nguyen Mau Nam, R. Blake Rector   +4 more
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A Fixed Point Theorem for Discontinuous Functions [PDF]

AMS classifications: 54H25, 65K10, 49J53, 68W25Fixed point;simplicial subdivision;discontinuity ...
Herings, P.J.J., Laan, G. van der, Talman, A.J.J., Yang, Z.F.   +3 more
core   +1 more source

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
core  

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
core  

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

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