Since then, it has been extensively studied because of its crucial role in the study of mechanics, physics, economics, transportation and engineering sciences, and optimization and control.
In my past and current research, I draw on tools from physics, mathematics, systems engineering, computer science, and optimization theory.
Convexity and some generalizations of convexity play a crucial role in mathematical economics, engineering, management science, and optimization theory.
Iterative algorithms have played a central role in the approximation solvability, especially of nonlinear variational inequalities as well as of nonlinear equations, in several fields such as applied mathematics, mathematical programming, mathematical finance, control theory and optimization, engineering sciences and others.
Further, the applicability of variational inequality theory, which was initially developed to cope with equilibrium problems (e.g., the Signorini problem, which was first posed by Antonio Signorini in 1959), has been extended to involve problems in economics, finance, electrodynamics, mechanics, engineering science, optimization and game theory.
Convexity plays a central role in mathematical economics, engineering, management sciences, and optimization.
Convexity plays a central and fundamental role in the fields of mathematical finance, economics, engineering, management sciences, and optimization theory.
In other words, the generalized Ky Fan's inequality and equilibrium problem are a unified model for several problems arising in physics, engineering, science, optimization, economics and related topics.
The equilibrium problem is an unifying model for several problems arising in physics, engineering, science optimization, economics, transportation, network and structural analysis, Nash equilibrium problems in noncooperative games, and others.
The mixed equilibrium problem (MEP) includes several important problems arising in physics, engineering, science optimization, economics, transportation, network and structural analysis, Nash equilibrium problems in noncooperative games and others.
