Strong Convergence Theorems for Nonexpansive Mappings and Ky Fan Inequalities |
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Authors: | P N Anh |
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Institution: | (1) Department of Scientific Fundamentals, Posts and Telecommunications Institute of Technology, Hanoi, Vietnam |
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Abstract: | We introduce a new iteration method and prove strong convergence theorems for finding a common element of the set of fixed points of a nonexpansive mapping and the solution set of monotone and Lipschitz-type continuous Ky Fan inequality. Under certain conditions on parameters, we show that the iteration sequences generated by this method converge strongly to the common element in a real Hilbert space. Some preliminary computational experiences are reported. |
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