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Finally, we consider finding a solution of the equilibrium problem.
Numerous problems in physics, optimization and economics reduce to finding a solution of the equilibrium problem.
Then they proved a strong convergence theorem for finding a solution of the equilibrium problem (1.1) in Banach spaces.
Numerous problems in physics, optimization and economics can be reduced to finding a solution of the equilibrium problem (for instance, see [28]).
The above formulation (1.6) was considered by Takahashi and Zembayashi [5] and they proved a strong convergence theorem for finding a solution of the equilibrium problem (1.6) in Banach spaces.
The above formulation (1.3) was considered in Takahashi and Zembayashi [1], and they proved a strong convergence theorem for finding a solution of the equilibrium problem (1.3) in Banach spaces.
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Many problems arising from physics, optimization, and economics can reduce to finding a solution of an equilibrium problem.
Using this theorem, we obtain three new results for finding a solution of an equilibrium problem, a fixed point of a hemirelatively nonexpnasive mapping, and a zero point of maximal monotone operators in a Banach space.
Using this theorem, we obtain three new strong convergence results for finding a solution of an equilibrium problem, a fixed point of a hemirelatively nonexpnasive mapping, and a zero point of maximal monotone operators in a Banach space.
In this section, we use the hybrid projection method for finding a solution of a generalized equilibrium problem in the dual space of Banach spaces.
Thus EP ( g ) : = { z ∈ C : g ( z, y ) ≥ 0, ∀ y ∈ C }. Numerous problems in physics, optimization and economics reduce to finding a solution of equilibrium problem.
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