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Article Dans Une Revue Optimization Année : 2023

A slight look on a new fixed-point problem

Résumé

Nonexpansive mappings and iterative methods for finding their fixed points are an ongoing topic that receives a lot of attention from various areas such that nonlin- ear analysis and optimization. In this paper we leverage the connections between nonexpansive mappings, resolvent of maximal monotone operators, and proximal mappings of proper closed convex functions to introduce a new fixed-point problem, propose some algorithms, based on Krasnoselski-Mann and Halpern’s iteration methods. Then, we provide some related convergence results and we translate the analysis developed in DC-optimization problems and some non-monotone inclusions.
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Dates et versions

hal-04211372 , version 1 (19-09-2023)

Identifiants

  • HAL Id : hal-04211372 , version 1

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Abdellatif Moudafi. A slight look on a new fixed-point problem. Optimization, In press. ⟨hal-04211372⟩
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