Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings

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An iterative algorithm for solving fixed point problems, variational inequality problems and mixed equilibrium problems (2009, background): “Then T is maximal monotone and 0 ∈ Tv if and only if v ∈ VI(C, B) (see [22,23]).”
Common Solutions to Variational Inequalities (2012, unknown): “RgNi=1, the CSPP is to nd a point (u 1; u 2) 2 \Ni=1Ui \Ni=1Vi such that for all i = 1 : : : N , we have fi(u 1; u2) fi(u 1; u 2) fi(u1; u 2) (4.3) for all (u1; u2) 2 Ui Vi: This problem reduces to the CSVIP when we take in (1.1) Ai = (r(fi)u1 ; r(fi)u2) and Ki = Ui Vi for all i = 1; 2; : : : ; N:”
Algorithms of common solutions to quasi variational inclusion and fixed point problems (2008, methodology): “The results presented in the paper not only improve and extend the main result in Korpelevich [15] , but also replenish and extend the corresponding results in Iiduka and Takahashi [ 13 ] , Takahashi and Toyoda [12] , Nadezhkina and Takahashi [14] and Zeng and Yao [16] .”