616 citations · 1.2k across the 43 of their papers we have counts for
48 papers
Comparing the Methods of Alternating and Simultaneous Projections for Two Subspaces
Simeon Reich, Rafał Zalas
We study the well-known methods of alternating and simultaneous projections when applied to two nonorthogonal linear subspaces of a real Euclidean space. Assuming that both of the…
Strong Convergence of Forward-Reflected-Backward Splitting Methods for Solving Monotone Inclusions with Applications to Image Restoration and Optimal Control
Chinedu Izuchukwu, Simeon Reich, Yekini Shehu +1
In this paper, we propose and study several strongly convergent versions of the forward-reflected-backward splitting method of Malitsky and Tam for finding a zero of the sum of two…
Levitin-Polyak Well-posedness for Split Equilibrium Problems
Soumitra Dey, Aviv Gibali, Simeon Reich
The notion of well-posedness has drawn the attention of many researchers in the field of nonlinear analysis, as it allows to explore problems in which exact solutions are not known…
Generalized projections on general Banach spaces
Akhtar A. Khan, Jinlu Li, Simeon Reich
In general Banach spaces, the metric projection map lacks the powerful properties it enjoys in Hilbert spaces. There are a few generalized projections that have been proposed in or…
Convergence of Two Simple Methods for Solving Monotone Inclusion Problems in Reflexive Banach Spaces
Chinedu Izuchukwu, Simeon Reich, Yekini Shehu
We propose two very simple methods, the first one with constant step sizes and the second one with self-adaptive step sizes, for finding a zero of the sum of two monotone operators…
Polynomial Estimates for the Method of Cyclic Projections in Hilbert Spaces
Simeon Reich, Rafał Zalas
We study the method of cyclic projections when applied to closed and linear subspaces , , of a real Hilbert space . We show that the average distance…