The logarithmic mean of two convex functionals
The purpose of this paper is to introduce the logarithmic mean of two convex functionals that extends the logarithmic mean of two positive operators. Some inequalities involving this functional mean are discussed as well.
Raïssouli Mustapha, Furuichi Shigeru
doaj +1 more source
Fixed points of dynamic processes of set-valued F-contractions and application to functional equations [PDF]
The article is a continuation of the investigations concerning F-contractions which have been recently introduced in [Wardowski in Fixed Point Theory Appl. 2012:94,2012]. The authors extend the concept of F-contractive mappings to the case of nonlinear F-
D Paesano +10 more
core +2 more sources
An iterative method for variational inequality problems
In this paper, we present some properties of generalized proximity operators andpropose an iterative method of approximating solutions for a class ofgeneralized variational inequalities and show its convergence in uniformlyconvex and smooth Banach spaces.
Wei-Bo Guan
semanticscholar +2 more sources
Lagrange optimality system for a class of nonsmooth convex optimization [PDF]
In this paper, we revisit the augmented Lagrangian method for a class of nonsmooth convex optimization. We present the Lagrange optimality system of the augmented Lagrangian associated with the problems, and establish its connections with the standard ...
Jin, Bangti, Takeuchi, Tomoya
core +2 more sources
Optimal transportation with an oscillation-type cost: the one-dimensional case [PDF]
The main result of this paper is the existence of an optimal transport map $T$ between two given measures $\mu$ and $\nu$, for a cost which considers the maximal oscillation of $T$ at scale $\delta$, given by $\omega_\delta(T):=\sup_{|x-y|
Lesesvre, Didier +2 more
core +2 more sources
Are law-invariant risk functions concave on distributions?
While it is reasonable to assume that convex combinations on the level of random variables lead to a reduction of risk (diversification effect), this is no more true on the level of distributions.
Acciaio Beatrice, Svindland Gregor
doaj +1 more source
Purely finitely additive measures as generalized elements in a maximin problem [PDF]
We study the asymptotic behavior of maximin values of a payoff function, when admissible controls tend to infinity. The payoff function is superposition of a continuos function and a function that is uniform limit of step functions.
Baklanov, A.
core +1 more source
Mathematical Model Creation for Cancer Chemo‐Immunotherapy
One of the most challenging tasks in constructing a mathematical model of cancer treatment is the calculation of biological parameters from empirical data. This task becomes increasingly difficult if a model involves several cell populations and treatment modalities.
Lisette de Pillis +7 more
wiley +1 more source
Coincidence theorems for families of multimaps and their applications to equilibrium problems
We apply some continuous selection theorems to establish coincidence theorems for a family of multimaps under various conditions. Then we apply these coincidence theorems to study the equilibrium problem with m families of players and 2m families of constraints on strategy sets.
Lai-Jiu Lin, Hsin I Chen
wiley +1 more source
On question about extension of maximin problem with phase constraints [PDF]
We study the asymptotic behavior of maximin values of a payoff function, when relaxed constraints are tightened. The payoff function depends on the trajectories of controlled systems of the first and second player.
Baklanov, A.
core +1 more source

