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Generalized Equilibrium Problems

open access: yesMathematics, 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

Parallel Extragradient-Proximal Methods for Split Equilibrium Problems [PDF]

open access: yesMathematical Modelling and Analysis, 2016
In this paper, we introduce two parallel extragradient-proximal methods for solving split equilibrium problems. The algorithms combine the extragradient method, the proximal method and the shrinking projection method.
Dang Van Hieu
doaj   +5 more sources

An Extragradient Method for Mixed Equilibrium Problems and Fixed Point Problems

open access: goldFixed Point Theory and Applications, 2009
The purpose of this paper is to investigate the problem of approximating a common element of the set of fixed points of a demicontractive mapping and the set of solutions of a mixed equilibrium problem.
Liou Yeong-Cheng   +2 more
doaj   +2 more sources

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

open access: yesSahand 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

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

open access: yesFrontiers 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   +4 more
doaj   +1 more source

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

open access: yesnpj 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   +10 more
doaj   +1 more source

A modified inertial viscosity extragradient type method for equilibrium problems application to classification of diabetes mellitus: Machine learning methods

open access: yesAIMS Mathematics, 2023
Diabetes is one of the four major types of noncommunicable diseases (cardiovascular disease, diabetes, cancer and chronic respiratory diseases). It is chronic condition that occurs when the body does not produce enough insulin therefore results in raised
Suthep Suantai   +4 more
doaj   +1 more source

Prolonged microgravity induces reversible and persistent changes on human cerebral connectivity

open access: yesCommunications 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   +20 more
doaj   +1 more source

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

open access: yesAxioms, 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   +3 more
doaj   +1 more source

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