Some Modified Extragradient Methods for Solving Split Feasibility and Fixed Point Problems

and Applied Analysis 3 in medical image reconstruction. A number of image reconstruction problems can be formulated as the SFP; see, for example, 11 and the references therein. Recently, it is found that the SFP can also be applied to study intensity-modulated radiation therapy IMRT 12–14 . In the recent past, a wide variety of iterative methods have been used in signal processing and image reconstruction and for solving the SFP; see, for example, 11, 13, 15–19 and the references therein see also 20 for relevant projection methods for solving image recovery problems . A special case of the SFP is the following convex constrained linear inverse problem 21 of finding an element x such that