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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

Inequality Problems of Equilibrium Problems with Application [PDF]

Sahand Communications in Mathematical Analysis, 2018
This paper aims at establishing the existence of results for a nonstandard equilibrium problems $(EP_{N})$. The solutions of this inequality are discussed in a subset $K$ (either bounded or unbounded) of a Banach spaces $X$. Moreover, we enhance the main
Ayed Eleiwis Hashoosh, Mohsen Alimohammady, Haiffa Mohsen Buite   +2 more
doaj   +3 more sources

The Role of Different Afferent Systems in the Modulation of the Otolith-Ocular Reflex After Long-Term Space Flights

Frontiers in Physiology, 2022
BackgroundThe vestibular (otolith) function is highly suppressed during space flight (SF) and the study of these changes is very important for the safety of the space crew during SF missions.
Dmitrii O. Glukhikh, Ivan A. Naumov, Catho Schoenmaekers, Ludmila N. Kornilova, Floris L. Wuyts   +4 more
doaj   +1 more source

A New Iterative Algorithm for Multivalued Nonexpansive Mappping and Equlibruim Problems with Applications [PDF]

Sahand Communications in Mathematical Analysis, 2020
In this paper, we introduce two iterative schemes by a modified Krasnoselskii-Mann algorithm for finding a common element of the set of solutions of equilibrium problems and the set of fixed points of multivalued nonexpansive mappings in Hilbert space ...
Thierno Mohadamane Mansour Sow
doaj   +1 more source

Ocular counter-roll is less affected in experienced versus novice space crew after long-duration spaceflight

npj Microgravity, 2022
Otoliths are the primary gravity sensors of the vestibular system and are responsible for the ocular counter-roll (OCR). This compensatory eye torsion ensures gaze stabilization and is sensitive to a head roll with respect to gravity and the Gravito ...
Catho Schoenmaekers, Chloë De Laet, Ludmila Kornilova, Dmitrii Glukhikh, Steven Moore, Hamish MacDougall, Ivan Naumov, Erik Fransen, Leander Wille, Steven Jillings, Floris L. Wuyts   +10 more
doaj   +1 more source

Prolonged microgravity induces reversible and persistent changes on human cerebral connectivity

Communications Biology, 2023
rs-fMRI is used to investigate human brain connectivity changes induced by prolonged microgravity in cosmonauts before and after spaceflight, with both persistent and reversible location specific changes in connectivity being observed.
Steven Jillings, Ekaterina Pechenkova, Elena Tomilovskaya, Ilya Rukavishnikov, Ben Jeurissen, Angelique Van Ombergen, Inna Nosikova, Alena Rumshiskaya, Liudmila Litvinova, Jitka Annen, Chloë De Laet, Catho Schoenmaekers, Jan Sijbers, Victor Petrovichev, Stefan Sunaert, Paul M. Parizel, Valentin Sinitsyn, Peter zu Eulenburg, Steven Laureys, Athena Demertzi, Floris L. Wuyts   +20 more
doaj   +1 more source

On well-posedness of generalized equilibrium problems involving -monotone bifunction [PDF]

Journal of Hyperstructures, 2016
The aim of this paper is to establish some uniqueness and well-posedness results for a general inequality of equilibrium problems type involving  -monotone bifunction, whose solution is sought in a subset K of a Banach space X.
AYED HASHOOSH, M. Alimohammady
doaj   +1 more source

A Discrete Characterization of the Solvability of Equilibrium Problems and Its Application to Game Theory

Axioms, 2023
We state a characterization of the existence of equilibrium in terms of certain finite subsets under compactness and transfer upper semicontinuity conditions.
Maria Isabel Berenguer, Domingo Gámez, Ana Isabel Garralda-Guillem, Manuel Ruiz Galán   +3 more
doaj   +1 more source

A General Inertial Projection-Type Algorithm for Solving Equilibrium Problem in Hilbert Spaces with Applications in Fixed-Point Problems

Axioms, 2020
A plethora of applications from mathematical programming, such as minimax, and mathematical programming, penalization, fixed point to mention a few can be framed as equilibrium problems.
Nopparat Wairojjana, Habib ur Rehman, Manuel De la Sen, Nuttapol Pakkaranang   +3 more
doaj   +1 more source

Alterations of Functional Brain Connectivity After Long-Duration Spaceflight as Revealed by fMRI

Frontiers in Physiology, 2019
The present study reports alterations of task-based functional brain connectivity in a group of 11 cosmonauts after a long-duration spaceflight, compared to a healthy control group not involved in the space program.
Ekaterina Pechenkova, Inna Nosikova, Alena Rumshiskaya, Liudmila Litvinova, Ilya Rukavishnikov, Elena Mershina, Valentin Sinitsyn, Angelique Van Ombergen, Ben Jeurissen, Steven Jillings, Steven Jillings, Steven Laureys, Jan Sijbers, Alexey Grishin, Ludmila Chernikova, Ivan Naumov, Ludmila Kornilova, Floris L. Wuyts, Elena Tomilovskaya, Inessa Kozlovskaya   +19 more
doaj   +1 more source