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20122021
most citedBest Approximation from the Kuhn-Tucker Set of Composite Monotone Inclusions

1 citations · 1 across the 5 of their papers we have counts for

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5 papers

math.GM2021

Fuzzy ample spectrum contractions in (more general than) non-Archimedean fuzzy metric spaces

Antonio Francisco Roldán López de Hierro, Erdal Karapınar, Naseer Shahzad

Taking into account that Roldán et al.'s ample spectrum contractions have managed to extend and unify more than ten distinct families of contractive mappings in the setting of metr…

math.OC2014★ 1 cited

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…

math.OC2013

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…

math.OC2013

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…

math.GN2012

A - contraction Principle in Partial Metric Spaces with Self-distance Terms

Thabet Abdeljawad, Younis Zaidan, Naseer Shahzad

We prove a generalized contraction principle with control function in complete partial metric spaces. The contractive type condition used allows the appearance of self distance ter…