common fixed point – Optimization Online

A new explicit iterative algorithm for solving split variational inclusion and fixed point problem for the infinite family of nonexpansive operators

Published: 2015/09/04, Updated: 2015/09/05

Complementarity and Variational Inequalities common fixed point, resolvent operator, split variational inclusion problem, strong convergence, variational inequality

In this paper, we introduce a new explicit iterative algorithm for finding a solution of split variational inclusion problem over the common fixed points set of a infinite family of nonexpansive mappings in Hilbert spaces. To reach this goal, the iterative algorithms which combine Tian’s method with some fixed point technically proving methods are utilized … Read more

Extrapolation and Local Acceleration of an Iterative Process for Common Fixed Point Problems

Published: 2012/04/19

Andrzej Cegielski

Yair Censor

Convex Optimization common fixed point, cutter operator, cyclic projection method, dos santos local acceleration, quasi-nonexpansive operators

We consider sequential iterative processes for the common fixed point problem of families of cutter operators on a Hilbert space. These are operators that have the property that, for any point x∈H, the hyperplane through Tx whose normal is x-Tx always “cuts” the space into two half-spaces one of which contains the point x while … Read more