The equivalence of Mann iteration and Ishikawa iteration for non-Lipschitzian operators.
Rhoades, B. E., Şoltuz, Ştefan M. (2003)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Convergence theorems and stability results for Lipschitz strongly pseudocontractive operators.”
The equivalence of Mann iteration and Ishikawa iteration for non-Lipschitzian operators.
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In this paper, we introduce an iterative algorithm for finding a common element of the set of solutions of a mixed equilibrium problem, the set of fixed points of a nonexpansive mapping, and the the set of solutions of a variational inclusion in a real Hilbert space. Furthermore, we prove that the proposed iterative algorithm converges strongly to a common element of the above three sets, which is a solution of a certain optimization problem related to a strongly positive bounded linear...
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