Results 21 to 30 of about 6,104 (162)

On the Convex Feasibility Problem

open access: yesCoRR, 2009
The convergence of the projection algorithm for solving the convex feasibility problem for a family of closed convex sets, is in connection with the regularity properties of the family. In the paper [18] are pointed out four cases of such a family depending of the two characteristics: the emptiness and boudedness of the intersection of the family.
Laura Maruster, Stefan Maruster
openaire   +3 more sources

Some algorithms for classes of split feasibility problems involving paramonotone equilibria and convex optimization

open access: yesJournal of Inequalities and Applications, 2019
In this paper, we first introduce a new algorithm which involves projecting each iteration to solve a split feasibility problem with paramonotone equilibria and using unconstrained convex optimization.
Q. L. Dong   +4 more
doaj   +1 more source

Half-Space Relaxation Projection Method for Solving Multiple-Set Split Feasibility Problem

open access: yesMathematical and Computational Applications, 2020
In this paper, we study an iterative method for solving the multiple-set split feasibility problem: find a point in the intersection of a finite family of closed convex sets in one space such that its image under a linear transformation belongs to the ...
Guash Haile Taddele   +3 more
doaj   +1 more source

Applications of Fixed-Point and Optimization Methods to the Multiple-Set Split Feasibility Problem

open access: yesJournal of Applied Mathematics, 2012
The multiple-set split feasibility problem requires finding a point closest to a family of closed convex sets in one space such that its image under a linear transformation will be closest to another family of closed convex sets in the image space.
Yonghong Yao   +3 more
doaj   +1 more source

Joint Blocklength and Power Optimization in High-Speed Railway Relay Communication Systems

open access: yesIEEE Access, 2023
For a high-speed railway relay downlink communication system based on short-packet transmission, the problem of maximizing the minimum user throughput by jointly optimizing the transmission packet length and the transmission power control of the relay ...
Hao Xu   +4 more
doaj   +1 more source

An intermixed iteration for constrained convex minimization problem and split feasibility problem

open access: yesJournal of Inequalities and Applications, 2019
In this paper, we first introduce the two-step intermixed iteration for finding the common solution of a constrained convex minimization problem, and also we prove a strong convergence theorem for the intermixed algorithm.
Kanyanee Saechou, Atid Kangtunyakarn
doaj   +1 more source

A Unified Iterative Treatment for Solutions of Problems of Split Feasibility and Equilibrium in Hilbert Spaces

open access: yesAbstract and Applied Analysis, 2013
We at first raise the so called split feasibility fixed point problem which covers the problems of split feasibility, convex feasibility, and equilibrium as special cases and then give two types of algorithms for finding solutions of this problem and ...
Young-Ye Huang, Chung-Chien Hong
doaj   +1 more source

Internal Perturbation Projection Algorithm for the Extended Split Equality Problem and the Extended Split Equality Fixed Point Problem

open access: yesJournal of Function Spaces, 2020
In this article, we study the extended split equality problem and extended split equality fixed point problem, which are extensions of the convex feasibility problem.
Meixia Li, Xueling Zhou, Wenchao Wang
doaj   +1 more source

Global Optimization for the Sum of Concave-Convex Ratios Problem

open access: yesJournal of Applied Mathematics, 2014
This paper presents a branch and bound algorithm for globally solving the sum of concave-convex ratios problem (P) over a compact convex set. Firstly, the problem (P) is converted to an equivalent problem (P1).
XueGang Zhou, JiHui Yang
doaj   +1 more source

A new fixed-time stability of neural network to solve split convex feasibility problems

open access: yesJournal of Inequalities and Applications, 2023
In this paper, we propose a novel neural network that achieves stability within the fixed time (NFxNN) based on projection to solve the split convex feasibility problems.
Jinlan Zheng   +3 more
doaj   +1 more source

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