Results 11 to 20 of about 451 (54)

Mixed variational inequalities and economic equilibrium problems

Journal of Applied Mathematics, Volume 2, Issue 6, Page 289-314, 2002., 2002
We consider rather broad classes of general economic equilibrium problems and oligopolistic equilibrium problems which can be formulated as mixed variational inequality problems. Such problems involve a continuous mapping and a convex, but not necessarily differentiable function. We present existence and uniqueness results of solutions under weakened P‐
I. V. Konnov, E. O. Volotskaya
wiley   +1 more source

Fixed points, intersection theorems, variational inequalities, and equilibrium theorems

International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 2, Page 73-93, 2000., 2000
From a fixed point theorem for compact acyclic maps defined on admissible convex sets in the sense of Klee, we first deduce collectively fixed point theorems, intersection theorems for sets with convex sections, and quasi‐equilibrium theorems. These quasi‐equilibrium theorems are applied to give simple and unified proofs of the known variational ...
Sehie Park
wiley   +1 more source

Blurred constitutive laws and bipotential convex covers [PDF]

Mathematics and Mechanics of Solids 16(2), (2011), 161-171, 2009
In many practical situations, incertitudes affect the mechanical behaviour that is given by a family of graphs instead of a single one. In this paper, we show how the bipotential method is able to capture such blurred constitutive laws, using bipotential convex covers.
arxiv   +1 more source

A survey on the Riemann-Lebesgue integrability in non-additive setting [PDF]

arXiv, 2023
We present in this survey some results regarding Riemann_Lebesgue integrability with respect to arbitrary non-additive set functions.
arxiv  

On optimal control in a nonlinear interface problem described by hemivariational inequalities

Advances in Nonlinear Analysis
This article is devoted to the existence of optimal controls in various control problems associated with a novel nonlinear interface problem on an unbounded domain with non-monotone set-valued transmission conditions.
Gwinner Joachim
doaj   +1 more source

On Parametric Vector Optimization via Metric Regularity of Constraint Systems [PDF]

, 2011
Some metric and graphical regularity properties of generalized constraint systems are investigated. Then, these properties are applied in order to penalize (in the sense of Clarke) various scalar and vector optimization problems. This method allows us to present several necessary optimality conditions in solid constrained vector optimization.
arxiv   +1 more source

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

Atomicity related to non-additive integrability [PDF]

Rend. Circolo Matem. Palermo, Volume 65 (3), 435-449, 2016, 2016
In this paper we present some results concerning Gould integrability of vector functions with respect to a monotone measure on finitely purely atomic measure spaces. As an application a Radon-Nikodym theorem in this setting is obtained.
arxiv   +1 more source

On generalization of Zermelo navigation problem on Riemannian manifolds [PDF]

Int. J. Geom. Methods Mod. Phys. 16 (2019), 2016
We generalize the Zermelo navigation problem and its solution on Riemannian manifolds $(M, h)$ admitting a space dependence of a ship's own speed $|u(x)|_h\leq1$ in the presence of a perturbation $W$ determined by a mild velocity vector field $|W(x)|_h<|u(x)|_h$, with application of Finsler metric of Randers type.
arxiv   +1 more source

Recursive Variational Problems in Nonreflexive Banach Spaces with an Infinite Horizon: An Existence Result [PDF]

arXiv, 2017
We investigate variational problems with recursive integral functionals governed by infinite-dimensional differential inclusions with an infinite horizon and present an existence result in the setting of nonreflexive Banach spaces. We find an optimal solution in a Sobolev space taking values in a Banach space under the Cesari type condition.
arxiv