Landweber-type operator and its properties
Andrzej Cegielski
TL;DR
This paper investigates properties of Landweber and Landweber-type operators, which are essential in algorithms for split feasibility and fixed point problems, aiding convergence proofs.
Contribution
It introduces new properties of Landweber-type operators, enhancing theoretical understanding and convergence analysis in related iterative algorithms.
Findings
Properties of Landweber operators established
Properties of Landweber-type operators established
Applications in convergence proofs for algorithms
Abstract
Our aim is to present several properties of a Landweber operator and of a Landweber-type operator. These operators are widely used in methods for solving the split feasibility problem and the split common fixed point problem. The presented properties can be used in proofs of convergence of related algorithms.
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Taxonomy
TopicsOptimization and Variational Analysis · Fixed Point Theorems Analysis · Aerospace Engineering and Control Systems