'Fixed-Point Algorithms for Inverse Problems in Science and Engineering'presents some of the most recent work from top-notch researchers studying projection and other first-order fixed-point algorithms in severa
Fixed points in Computer Science refer to terms that are defined inductively, where each variable is considered a fixed-point term, and if a function applied to fixed-point terms results in another fixed-point term. AI generated definition based on: Studies in Logic and the Foundations of Mathe...
We shall consider this problem by using the notion of minimal norm interpolation. A fixed-point proximity algorithm for solving this problem will be developed.doi:10.1016/j.acha.2019.12.002Zheng LiCharles A. MicchelliYuesheng XuApplied and Computational Harmonic Analysis...
That means, the proximal point algorithm for is a minimizing method for . There is an abundance of literature on proximal point algorithms with applications mostly followed by the work of Rockafellar [1], but we focus greatly on the work of Eckstein and Bertsekas [2], where they have relaxed...
then there exists a solution x∗ of GNOVI (4.1), which is a fixed point of JM,λG, that is converged strongly by a sequence {xn}n=0∞ generated by the following algorithm: For any given x0∈X and any 0<a<1, set xn+1=(1−a)xn+aJM,λ(G(xn)+λρw)(n=1,2,…). ...
then {xn} weakly converges to a point p∈Fix(T). Moreover, if ∑n=0∞(1−αn)<∞, then the convergence is strong.ProofTo prove that the algorithm is well defined, it is sufficient to note that αn∈[h(xn),1] for any n∈N; then, by recalling property (P2) from Lemma...
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves. 5.1Representation (Q Notation) A fixed-point number is a scaled floating-point number. The scaling can be in decimal or binary, we wil...
Mathematics, Statistics & Data Science Communications in Statistics - Simulation and Computation List of Issues Volume 29, Issue 1 A fixed-point method for the saddlepoint ... Search in:This JournalAnywhere Advanced search Communications in Statistics - Simulation and ComputationVolume 29, 2000 -Issue...
Computer Science - Data Structures and AlgorithmsAn involution on a finite set is a bijection such as I(I(e))=e for all the element of the set. A fixed-point free involution on a finite set is an involution such as I(e)=e for none element of the set. In this article, the fixed...
Furthermore, we give an example showing the conditions of the theory which found a common fixed point of a pair of multivalued mappings on proximinal sets in a regular modular metric space. Also, the applications of the obtained results can be used in multiple fields of science like ...