Convergence Analysis of a Modified Forward-Backward Splitting Algorithm for Minimization and Application to Image Recovery

Many applications in applied sciences and engineering can be considered as the convex minimization problem with sum of two functions. One most popular techniques to solve this is forward-backward algorithm. In work, we aim present a new version splitting algorithms by adapting Tseng’s extragradient method using linesearch technique inertial conditions. We obtain its convergence result under mild assumptions. Moreover, applications, provide numerical experiments image recovery problem. also compare our algorithm demonstrate efficiency some known algorithms.