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The applicability of the theory has been expanded to various problems from economics, finance, optimization and game theory.
On the other hand, the concept of equilibrium plays a central role in various applied sciences, such as physics (especially, mechanics), economics, finance, optimization, image reconstruction, network, ecology, sociology, chemistry, biology, engineering sciences, transportation, and other fields.
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The proposed approach is evaluated on applications from the field of computational finance, namely portfolio optimization and time series forecasting.
In other words, the (mathit {GMEP}(f,A,psi)) is a unifying model for several problems arising in physics, engineering, science, optimization, finance, economics, etc.
It the past decades, variational inequalities and their generalizations have been widely used in finance, economics, transportation, optimization, operations research, and the engineering sciences.
These operators arise in a quite natural way in many different contexts, such as the thin obstacle problem, optimization, finance, materials science, continuum mechanics, etc.
This may be due to its concrete applications in different fields, such as the thin obstacle problem, optimization, finance, phase transitions, stratified materials, anomalous diffusion, deblurring and denoising of images, and so on; see [1, 7 10].
This type of operators arises in several areas such as anomalous diffusion, the thin obstacle problem, optimization, finance, phase transitions, stratified materials, crystal dislocation, soft thin films, semipermeable membranes, flame propagation, conservation laws, quasi-geostrophic flows, multiple scattering and materials science.
Indeed, applications of the variational inequalities span as diverse disciplines as differential equations, time-optimal control, optimization, mathematical programming, mechanics, finance, and so on.
They cover partial differential equations, optimal control, optimization, mathematical programming, mechanics, and finance (see [1 3]).
It is now well known that variational inequalities cover disciplines such as partial differential equations, optimal control, optimization, mathematical programming, mechanics and finance.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com