Abstract
Using the extragradient method, we present an algorithm for finding a solution of the split equality Ky Fan inequality problem. This algorithm does not require any knowledge of the operator norms. We establish strong convergence of the algorithm in an infinite dimensional Hilbert space. Applying our results, we obtain a solution of split equality variational inequality problem for a family of monotone and Lipschitz continuous operators.
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More From: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
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