An inertially constructed forward–backward splitting algorithm in Hilbert spaces

A relaxed-projection splitting algorithm for variational inequalities in Hilbert spaces

We introduce a relaxed-projection splitting algorithm for solving variational inequalities in Hilbert spaces for the sum of nonsmooth maximal monotone operators, where the feasible set is defined by a nonlinear and nonsmooth continuous convex function inequality. In our scheme, the orthogonal projections onto the feasible set are replaced by projections onto separating hyperplanes. Furthermore,...

An intermixed algorithm for strict pseudo-contractions in Hilbert spaces

*Correspondence: [email protected] 2Department of Mathematics and the RINS, Gyeongsang National University, Jinju, 660-701, Korea Full list of author information is available at the end of the article Abstract An intermixed algorithm for two strict pseudo-contractions in Hilbert spaces have been presented. It is shown that the suggested algorithms converge strongly to the fixed points of two str...

Characterization of splitting for Fréchet-Hilbert spaces via interpolation

Based on the methods from interpolation theory we give a characterization of pairs (E,F ) of Fréchet-Hilbert spaces so that for each Fréchet-Hilbert space G each short exact sequence 0 −→ F −→ G −→ E −→ 0 splits. This characterization essentially depends on a key condition (S) of an interpolation nature. An equivalent description of (S) in terms of appropriate families of interpolation function...

Generalized Frames in Hilbert Spaces

FUSION FRAMES IN HILBERT SPACES

Fusion frames are an extension to frames that provide a framework for applications and providing efficient and robust information processing algorithms. In this article we study the erasure of subspaces of a fusion frame.