Results 11 to 20 of about 32 (32)

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

Partial differential hemivariational inequalities

Advances in Nonlinear Analysis, 2018
The aim of this paper is to introduce and study a new class of problems called partial differential hemivariational inequalities that combines evolution equations and hemivariational inequalities.
Liu Zhenhai, Zeng Shengda, Motreanu Dumitru   +2 more
doaj   +1 more source

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

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

A generalized fixed-point theorem for set-valued mappings in b-metric spaces

Open Mathematics
The 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
doaj   +1 more source

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, Al-Homidan S, Ansari QH, Li J, Lv Y.   +4 more
europepmc   +1 more source

Hybrid proximal linearized algorithm for the split DC program in infinite-dimensional real Hilbert spaces. [PDF]

J Inequal Appl, 2018
Chuang CS, Yang PJ.
europepmc   +1 more source

A new method of proof of Filippov’s theorem based on the viability theorem

Open Mathematics, 2012
Plaskacz Sławomir, Wiśniewska Magdalena   +1 more
doaj   +1 more source