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We also propose two iterative algorithms to find the common element of the solutions set for (SGQVI) and the fixed points set for Lipschitz mappings.
Two new iterative algorithms to find the common element of the solutions set for (SGQVI) and the fixed points set for Lipschitz mappings are proposed.
Many iterative methods are purposed for finding a common element of the solutions of the equilibrium problem and fixed point problem of nonexpansive mappings, see [8 10].
We introduce a new iterative scheme for finding a common element of the solutions sets of a finite family of equilibrium problems and fixed points sets of an infinite family of nonexpansive mappings in a Hilbert space.
We introduce a new iterative scheme based on both hybrid method and extragradient method for finding a common element of the solutions set of a system of equilibrium problems, the fixed points set of a nonexpansive mapping, and the solutions set of a variational inequality problems for a monotone and -Lipschitz continuous mapping in a Hilbert space.
In 2007, S. Takahashi and W. Takahashi [1] first introduced an iterative scheme by the viscosity approximation method for finding a common element of the solutions set of equilibrium problem and the set of fixed points of a nonexpansive mapping in a Hilbert space and proved a strong convergence theorem which is based on Combettes and Hirstoaga's result [2] and Wittmann's result [3].
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"The core element of the solution is that the necessary exchange of data will be made directly with the U.S. tax authorities," the Swiss Bankers Association said in a statement.
The stimulus package is the easiest element of the solution to understand, and the easiest to sell politically: just about every member of Congress can go home and explain how it benefits constituents.
Nevertheless, in both EB and OB phases, the algorithm merely modify single element of the solution in each cycle.
where x i ( j ) is defined as in formula (2), and x ¯ i ( j ) is the corresponding new element of the solution after modification.
Recently, many authors considered the problem of finding a common element of the solution set of the variational inequality (1.4) and of fixed point set of a nonexpansive mapping in Hilbert spaces; see, for examples, [1 5] and the references therein.
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