1 citations · 1 across the 3 of their papers we have counts for
3 papers
Best Approximation from the Kuhn-Tucker Set of Composite Monotone Inclusions
Abdullah Alotaibi, Patrick L. Combettes, Naseer Shahzad
Kuhn-Tucker points play a fundamental role in the analysis and the numerical solution of monotone inclusion problems, providing in particular both primal and dual solutions. We pro…
Solving Coupled Composite Monotone Inclusions by Successive Fejér Approximations of Their Kuhn-Tucker Set
Abdullah Alotaibi, Patrick L. Combettes, N. Shahzad
We propose a new class of primal-dual Fejer monotone algorithms for solving systems of com- posite monotone inclusions. Our construction is inspired by a framework used by Eckstein…
A Primal-Dual Method of Partial Inverses for Composite Inclusions
Maryam A. Alghamdi, Abdullah Alotaibi, Patrick L. Combettes +1
Spingarn's method of partial inverses has found many applications in nonlinear analysis and in optimization. We show that it can be employed to solve composite monotone inclusions…