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- Abdellatif Moudafi
- J. Optimization Theory and Applications
- 2011

Based on the very recent work by Censor-Gibali-Reich [7], we propose an extension of their new variational problem (Split Variational Inequality Problem) to monotone variational inclusions. Relyingâ€¦ (More)

- Abdellatif Moudafi, P.-E. MaingÃ©
- 2006

We introduce methods which seem to be a new and promising tool in hierarchical fixedpoint problems. The goal of this note is to analyze the convergence properties of these new types of approximatingâ€¦ (More)

- Abdellatif Moudafi
- J. Global Optimization
- 2010

We consider a bilevel problem involving two monotone equilibrium bifunctions and we show that this problem can be solved by a simple proximal method. Under mild conditions, the weak convergence ofâ€¦ (More)

The convex feasibility problem (CFP) is to find a member of the intersection of finitely many closed convex sets in Euclidean space. When the intersection is empty, one can minimize a proximityâ€¦ (More)

- Abdellatif Moudafi
- Applied Mathematics and Computation
- 2004

Relying on prox-regularity we suggest and analyze a class of iterative schemes for solving nonconvex variational inequalities, our result can be considered as an improvement and a significantâ€¦ (More)

- Paul-Emile MaingÃ©, Abdellatif Moudafi
- SIAM Journal on Optimization
- 2008

We present iterative methods for finding the critical points and/or the minima of extended real valued functions of the form Ï† = Ïˆ+gâˆ’h, where Ïˆ is a differentiable function and g and h are convex,â€¦ (More)

- Abdellatif Moudafi
- Applied Mathematics and Computation
- 2008

Relying on the Yosida approximate, we investigate the problem of finding zeroes for a difference of two maximal monotone operators in Hilbert spaces. These zeroes are compared to those of theâ€¦ (More)

- Abdellatif Moudafi, B. S. Thakur
- Optimization Letters
- 2014

Abstract In this paper our interest is in investigating properties and numerical solutions of Proximal Split feasibility Problems. First, we consider the problem of finding a point which minimizes aâ€¦ (More)

The hybrid proximal point algorithm introduced by Solodov and Svaiter allowing significant relaxation of the tolerance requirements imposed on the solution of proximal subproblems will be combinedâ€¦ (More)

We consider a variable Krasnoselâ€™skiiâ€“Mann algorithm for approximating critical points of a prox-regular function or equivalently for finding fixed-points of its proximal mapping proxÎ»f . The noveltyâ€¦ (More)