Abstract and Applied Analysis, 2013 Let H be a real Hilbert space and C⊂H a closed convex subset. Let T:C→C be a nonexpansive mapping with the nonempty set of fixed points Fix(T). Kim and Xu (2005) introduced a modified Mann iteration x0=x∈C, yn=αnxn+(1−αn)Txn, xn+1=βnu+(1−βn)yn, where u∈C
Songnian He, Wenlong Zhu
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Fitness Conditions for fixed Point Iteration
DAIMI Report Series, 1992 This paper provides a link between the formulation of static program analyses using the framework of abstract interpretation (popular for functional languages) and using the more classical framework of data flow analysis (popular for imperative languages).
Flemming Nielson, Hanne Riis Nielson
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Data Dependence for Ishikawa Iteration When Dealing with Contractive-Like Operators
Fixed Point Theory and Applications, 2008 We prove a convergence result and a data dependence for Ishikawa iteration when applied to contraction-like operators. An example is given, in which instead of computing the fixed point of an operator, we approximate the operator with a contractive-like ...
Teodor Grosan, Ş. M. Şoltuz
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Fast Krasnosel'skii-Mann algorithm with a convergence rate of the fixed point iteration of $o\left(\frac{1}{k}\right)$ [PDF]
, 2022 Radu Ioan Boţ, Dang-Khoa Nguyen
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Fixed Point Iteration Chaos Controlled ZCDPLL
International Journal of Communications, Network and System Sciences, 2016 The stable operation of first and second order Zero Crossing Digital Phase Locked Loop (ZCDPLL) is extended by using a Fixed Point Iteration (FPI) method with relaxation. The non-linear components of ZCDPLL such as sampler phase detector and Digital Controlled Oscillator (DCO) lead to unstable and chaotic operation when the filter gains are high ...
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WEAK CONVERGENCE OF A HYBRID ITERATIVE SCHEME WITH ERRORS FOR EQUILIBRIUM PROBLEMS AND COMMON FIXED POINT PROBLEMS [PDF]
, 2014 Seung-Hyun Kim, Byung-Soo Lee
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Fixed-point-free elements of iterated monodromy groups [PDF]
, 2014 Rafe Jones
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A Fixed-Point Iterative Method for Discrete Tomography Reconstruction Based on Intelligent Optimization [PDF]
, 2022 Luyao Yang +4 more
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Strong convergence of the Ishikawa iteration for Lipschitz α-hemicontractive mappings
Annals of the West University of Timisoara: Mathematics and Computer Science, 2015 A new class of α-hemicontractive maps T for which the strong convergence of the Ishikawa iteration algorithm to a fixed point of T is assured is introduced and studied.
Osilike Micah Okwuchukwu +1 more
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The fixed point iteration of positive concave mappings converges geometrically if a fixed point exists: implications to wireless systems [PDF]
, 2021 T. Piotrowski, Renato L. G. Cavalcante
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