Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization Viola Eckelt and is brighter than it

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Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization Viola Eckelt and is brighter than itThe aim of this work is to present in a unified approach a series of results concerning totally convex functions on Banach spaces and their applications to building iterative algorithms for computing common fixed points of mea surable families of operators and optimization methods in infinite dimen sional settings. The notion of totally convex function was first studied by Butnariu, Censor and Reich [31] in the context of the space lRR because of its