Synchronal algorithm and cyclic algorithm for fixed point problems and variational inequality problems in hilbert spaces

Ming Tian, DI Lan-yun · Fixed Point Theory and Applications · 2011

Abstract We design synchronal algorithm and cyclic algorithm based on the general iterative algorithm proposed by Tian in 2010 for finding the common fixed point x* of finite family of strict pseudo-contractive mappings which is the solution of the variational inequality 〈(γ f - μF)x*, x - x*〉 ≤ 0, "Equation missing". 2000 Mathematics Subject Classification: 58E35; 47H09; 65J15.

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