Some notions of nonstationary multistep iteration processes (Q1320467)

In recent years, the study of optimization problems has included a substantial effort to identify properties of iteration processes that will guarantee their convergence in some sense. \textit{S. Tishyadhigama}, \textit{E. Polak} and \textit{R. Klessig} [Math. Program. Stud. 10, 172-190 (1979; Zbl 0417.90077)] have made a very nice comparative study of several general convergence conditions for iteration processes modeled by stationary point-to-set maps. Here the conditions mentioned in the above manuscript are generalized and extended to nonstationary multistep iteration processes. Iteration processes in this general form have real practical and theoretical importance.