Let Ω and C be nonempty, closed and convex sets in R <Superscript> n </Superscript> and R <Superscript> m </Superscript> respectively and A be an <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$${m \times n}$$</EquationSource> </InlineEquation> real matrix. The split feasibility problem is to find <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$${u \in \Omega}$$</EquationSource> </InlineEquation> with <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$${Au \in C.}$$</EquationSource> </InlineEquation> Many problems arising in the image reconstruction can be formulated in this form. In...</equationsource></inlineequation></equationsource></inlineequation></equationsource></inlineequation></superscript></superscript>