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Iterative method for equilibrium problems and fixed point problem for countable nonexpansive mappings in Hilbert spaces
countable nonexpansive mappings equilibrium problems
2010/9/10
In this paper, we introduce the iterative schemes by the iterative method for finding a common element of the set of an equilibrium problem and the set of fixed points of countable nonexpansive mappin...
Strong convergence theorem for solving equilibrium problems by hybrid method of asymptotically k-strictly pseudo-contractive mappings in Hilbert spaces
asymptotically k-strictly pseudo-contractive equilibrium problems
2010/9/14
In this paper, we introduce the iterative schemes by using hybrid methods for finding a common element of the set of an equilibrium problem and the set of fixed points of asymptotically k-strictly pse...
Approximation methods for equilibrium problems and common solution for a finite family of inverse strongly-monotone problems in Hilbert spaces
Tikhonov regularization proximal point method contraction
2010/9/10
The purpose of the paper is to investigate approximation methods for finding an element that is not only a solution of a equilibrium problem but also a common solution for a finite family of inverse s...
An explicit iteration method for convex feasibility problems in Hilbert spaces
Monotone operators Lipschitz continuous Tikhonov regularization
2010/9/10
The purpose of this note is to present an explicit iteration method that converges strongly for solving convex feasibility problems in Hilbert spaces.
Refinements of the Schwarz and Heisenberg Inequalities in Hilbert Spaces
Schwarz inequality Triangle inequality Heisenberg Inequality
2008/6/27
Some new refinements of the Schwarz inequality in inner product spaces are given. Applications for discrete and integral inequalities including the Heisenberg inequality for vector-valued functions in...
Reverses of the Continuous Triangle Inequality for Bochner Integral of Vector-Valued Functions in Hilbert Spaces
Triangle inequality Reverse inequality Hilbert spaces Bochner integral
2008/6/27
Some reverses of the continuous triangle inequality for Bochner integral of vector-valued functions in Hilbert spaces are given. Applications for complex-valued functions are provided as well.