Results 21 to 30 of about 411,606 (266)

Convergence Rate Analysis for Averaged Fixed Point Iterations in Common Fixed Point Problems [PDF]

open access: yesSIAM Journal on Optimization, 2017
Summary: In this paper, we establish sublinear and linear convergence of fixed point iterations generated by averaged operators in a Hilbert space. Our results are achieved under a bounded Hölder regularity assumption which generalizes the well-known notion of bounded linear regularity.
Jonathan M. Borwein   +2 more
openaire   +3 more sources

Complexity of fixed point counting problems in Boolean networks [PDF]

open access: yesJournal of Computer and System Sciences, 2022
A Boolean network (BN) with $n$ components is a discrete dynamical system described by the successive iterations of a function $f:\{0,1\}^n \to \{0,1\}^n$. This model finds applications in biology, where fixed points play a central role. For example, in genetic regulations, they correspond to cell phenotypes.
Florian Bridoux   +3 more
openaire   +3 more sources

On the Complexity of 2D Discrete Fixed Point Problem

open access: yesTheoretical Computer Science, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xi Chen 0001, Xiaotie Deng
openaire   +2 more sources

Fixed point structures on a set-mapping pair and cartesian product

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2022
In this paper we study the following problem (Problem 4.2 in, I.A. Rus, Sets with structure, mappings and fixed point property: fixed point structures, Fixed Point Theory 23, No. 2 (2022), 689-706):
Rus Ioan A., Şerban Marcel-Adrian
doaj   +1 more source

Circumscribed ellipsoid algorithm for fixed-point problems [PDF]

open access: yesMathematics of Computation, 2010
We present a new implementation of the almost optimal Circumscribed Ellipsoid (CE) Algorithm for approximating fixed points of nonexpanding functions, as well as of functions that may be globally expanding, however, are nonexpanding/contracting in the direction of fixed points.
Ch. Boonyasiriwat   +2 more
openaire   +2 more sources

Proximal Gradient Method for Solving Bilevel Optimization Problems

open access: yesMathematical and Computational Applications, 2020
In this paper, we consider a bilevel optimization problem as a task of finding the optimum of the upper-level problem subject to the solution set of the split feasibility problem of fixed point problems and optimization problems.
Seifu Endris Yimer   +2 more
doaj   +1 more source

On the problem of discontinuity at fixed point

open access: yesFilomat, 2020
In this paper we obtain two known solutions of the problem of continuity of contractive mappings at fixed point under alternative set of conditions; these known solutions followed the first solution of Rhoades problem by Pant in 1999. We show that these two solutions characterize completeness and we also compare these with some recent ...
Joshi, Bharti   +3 more
openaire   +3 more sources

Tenth order boundary value problem solution existence by fixed point theorem

open access: yesJournal of Inequalities and Applications, 2020
In this paper we consider the Green function for a boundary value problem of generic order. For a specific case, the Leray–Schauder form of the fixed point theorem has been used to prove the existence of a solution for this particular equation.
Nicola Fabiano   +4 more
doaj   +1 more source

A Refined Inertial-like Subgradient Method for Split Equality Problems

open access: yesAppliedMath
This paper presents the convergence analysis of a newly proposed algorithm for approximating solutions to split equality variational inequality and fixed point problems in real Hilbert spaces.
Khushdil Ahmad   +2 more
doaj   +1 more source

The Split Common Fixed Point Problem for -Strictly Pseudononspreading Mappings

open access: yesJournal of Applied Mathematics, 2013
We introduce and analyze the viscosity approximation algorithm for solving the split common fixed point problem for the strictly pseudononspreading mappings in Hilbert spaces.
Shubo Cao
doaj   +1 more source

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