A New Extragradient-Type Algorithm for the Split Feasibility Problem

الملخص EN

We consider the split feasibility problem (SFP) in Hilbert spaces, inspired by extragradient method presented by Ceng, Ansari for split feasibility problem, subgradient extragradient method proposed by Censor, and variant extragradient-type method presented by Yao for variational inequalities; we suggest an extragradient-type algorithm for the SFP.

We prove the strong convergence under some suitable conditions in infinite-dimensional Hilbert spaces.