Results 1 to 10 of about 12,095,638 (361)

Generalized Equilibrium Problems

Mathematics, 2023
If X is a convex subset of a topological vector space and f is a real bifunction defined on X×X, the problem of finding a point x0∈X such that f(x0,y)≥0 for all y∈X, is called an equilibrium problem.
Mircea Balaj, Dan Florin Serac
doaj   +2 more sources

On some equilibrium problems for multimaps

Journal of Computational and Applied Mathematics, 2001
AbstractIn this paper, we first establish the continuity property for multimaps and generalized Berge's theorem for multimaps. Then we apply these results, and the Fan–Browder fixed point theorem to establish the existence theorems of quasi-equilibrium problems and generalized quasi-equilibrium problems for multimaps.
Lai-Jiu Lin, Zenn-Tsuen Yu
openalex   +3 more sources

On implicit vector equilibrium problems

Journal of Mathematical Analysis and Applications, 2003
AbstractIn this paper, we introduce and study a class of implicit vector equilibrium problems, which includes a number of (scalar) implicit equilibrium problems, implicit variational inequalities, and implicit complementarity problems as special cases. By using KKM-Fan theorem, we prove some new existence theorems of solutions for this kind of implicit
Jun Li, Nan‐jing Huang, Jong Kyu Kim
openalex   +3 more sources

Brain Connectometry Changes in Space Travelers After Long-Duration Spaceflight

Frontiers in Neural Circuits, 2022
Humans undergo extreme physiological changes when subjected to long periods of weightlessness, and as we continue to become a space-faring species, it is imperative that we fully understand the physiological changes that occur in the human body ...
Andrei Doroshin, Steven Jillings, Ben Jeurissen, Elena Tomilovskaya, Ekaterina Pechenkova, Inna Nosikova, Alena Rumshiskaya, Liudmila Litvinova, Ilya Rukavishnikov, Chloë De Laet, Catho Schoenmaekers, Jan Sijbers, Steven Laureys, Victor Petrovichev, Angelique Van Ombergen, Angelique Van Ombergen, Jitka Annen, Stefan Sunaert, Paul M. Parizel, Valentin Sinitsyn, Peter zu Eulenburg, Karol Osipowicz, Floris L. Wuyts   +22 more
doaj   +1 more source

Approximations of an Equilibrium Problem without Prior Knowledge of Lipschitz Constants in Hilbert Spaces with Applications

Axioms, 2021
The objective of this paper is to introduce an iterative method with the addition of an inertial term to solve equilibrium problems in a real Hilbert space.
Chainarong Khanpanuk, Nuttapol Pakkaranang, Nopparat Wairojjana, Nattawut Pholasa   +3 more
doaj   +1 more source

On split feasibility problem for finite families of equilibrium and fixed point problems in Banach spaces

Demonstratio Mathematica, 2022
In this article, motivated by the works of Ali Akbar and Elahe Shahrosvand [Split equality common null point problem for Bregman quasi-nonexpansive mappings, Filomat 32 (2018), no. 11, 3917–3932], Eskandani et al.
Abass Hammed A., Oyewole Olawale K., Mebawondu Akindele A., Aremu Kazeem O., Narain Ojen K.   +4 more
doaj   +1 more source

Algorithm for split variational inequality, split equilibrium problem and split common fixed point problem

AIMS Mathematics, 2022
The main aim of this manuscript is to work on the split equilibrium problem with the combined results of the fixed point problem and split variational inequality problem. This paper is an extension of the recent work of Lohawech et al.
Savita Rathee, Monika Swami
doaj   +1 more source

Iterative Approximate Solutions for Variational Problems in Hadamard Manifold

Axioms, 2022
The goal of this paper is to propose and investigate new iterative methods for examining an approximate solution of a fixed-point problem, an equilibrium problem, and a finite collection of variational inclusions in the Hadamard manifold’s structure ...
Mohammad Dilshad, Doaa Filali, Sumit Chandok, Mohammad Akram   +3 more
doaj   +1 more source

Subgradient Extra-Gradient Algorithm for Pseudomonotone Equilibrium Problems and Fixed-Point Problems of Bregman Relatively Nonexpansive Mappings

Mathematics, 2023
In this article, we introduce a new subgradient extra-gradient algorithm to find the common element of a set of fixed points of a Bregman relatively nonexpansive mapping and the solution set of an equilibrium problem involving a Pseudomonotone and ...
Roushanak Lotfikar, Gholamreza Zamani Eskandani, Jong-Kyu Kim, Michael Th. Rassias   +3 more
doaj   +1 more source

Equilibrium constrained optimization problems [PDF]

European Journal of Operational Research, 2006
We consider equilibrium constrained optimization problems, which have a general formulation that encompasses well-known models such as mathematical programs with equilibrium constraints, bilevel programs, and generalized semi-infinite programming problems.
Birbil, Ş. İlker, Bouza, G., Frenk, J. B. G., Still, G.   +3 more
openaire   +3 more sources