Algorithms for the split variational inequality problem

Y Censor, A Gibali, S Reich - Numerical Algorithms, 2012 - Springer
We propose a prototypical Split Inverse Problem (SIP) and a new variational problem, called
the Split Variational Inequality Problem (SVIP), which is a SIP. It entails finding a solution of …

[PDF][PDF] The split common null point problem

C Byrne, Y Censor, A Gibali… - J. Nonlinear Convex …, 2012 - optimization-online.org
We introduce and study the Split Common Null Point Problem (SCNPP) for set-valued
maximal monotone mappings in Hilbert spaces. This problem generalizes our Split …

The split common fixed-point problem for demicontractive mappings

A Moudafi - Inverse Problems, 2010 - iopscience.iop.org
Based on the very recent work by Censor and Segal (2009 J. Convex Anal. 16 587–600)
and inspired by Xu (2006 Inverse Problems 22 2021–34) and Yang (2004 Inverse Problems …

A note on the split common fixed-point problem for quasi-nonexpansive operators

A Moudafi - Nonlinear Analysis: Theory, Methods & Applications, 2011 - Elsevier
Based on the very recent work by Censor and Segal (2009)[1], and inspired by Xu (2006)[9],
Zhao and Yang (2005)[10], and Bauschke and Combettes (2001)[2], we introduce and …

Self-adaptive algorithms for the split problem of the demicontractive operators

Y Yao, YC Liou, M Postolache - Optimization, 2018 - Taylor & Francis
Self-adaptive algorithms for the split problem of the demicontractive operators Page 1 https://doi.org/10.1080/02331934.2017.1390747
Self-adaptive algorithms for the split problem of the demicontractive operators Yonghong …

Single-Valued Demicontractive Mappings: Half a Century of Developments and Future Prospects

V Berinde - Symmetry, 2023 - mdpi.com
Demicontractive operators form an important class of nonexpansive type mappings whose
study led researchers to the creation of some beautiful results in the framework of metric …

Solving split equality fixed-point problem of quasi-nonexpansive mappings without prior knowledge of operators norms

J Zhao - Optimization, 2015 - Taylor & Francis
Let, and be real Hilbert spaces, let and be two bounded linear operators. Moudafi introduced
simultaneous iterative algorithms with weak convergence for the following split common …

Further investigation into split common fixed point problem for demicontractive operators

Y Shehu, OT Mewomo - Acta mathematica sinica, english series, 2016 - Springer
Our contribution in this paper is to propose an iterative algorithm which does not require
prior knowledge of operator norm and prove strong convergence theorem for approximating …

An approximation algorithm for solving a split problem of fixed point and variational inclusion

Y Yao, M Postolache, JC Yao - Optimization, 2023 - Taylor & Francis
In this paper, the split fixed point and variational inclusion problems are considered. With the
help of fixed point technique, Tseng-type splitting method and self-adaptive rule, an iterative …

Another look at the split common fixed point problem for demicontractive operators

Y Shehu, P Cholamjiak - Revista de la Real Academia de Ciencias …, 2016 - Springer
In this article, we take a look at the recent results of Moudafi (Inverse Probl 26: 587–600,
2010), Tang et al.(Math Model Anal 17: 457–466, 2012) and Wang and Cui (Math Model …