ITERATIVE_METHOD

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Inertial Viscosity Iterative Method for Solving Pseudo-monotone Variational Inequality Problems and Fixed Point Problems
《Acta Mathematica Sinica,English Series》2022年第5期937-952,共16页Gang CAI Qiao Li DONG Yu PENG 
Supported by the NSF of China(Grant Nos.11771063,11971082 and 12171062);the Natural Science Foundation of Chongqing(Grant No.cstc2020jcyj-msxm X0455);Science and Technology Project of Chongqing Education Committee(Grant No.KJZD-K201900504);the Program of Chongqing Innovation Research Group Project in University(Grant No.CXQT19018);Open Fund of Tianjin Key Lab for Advanced Signal Processing(Grant No.2019ASP-TJ03)。
In this paper,we investigate a new inertial viscosity extragradient algorithm for solving variational inequality problems for pseudo-monotone and Lipschitz continuous operator and fixed point problems for quasi-nonexp...
关键词：Extragradient method variational inequality fixed point strong convergence quasi-nonexpansive mapping 
Superlinear Elliptic Equation with Mixed Boundary Value in Annular Domain
《Acta Mathematica Sinica,English Series》2021年第10期1549-1559,共11页Jian TIAN Yuan Hong WEI 
Supported by National Natural Science Foundation of China(Grant No.11871242);Natural Science Foundation of Jilin Province of China(Grant No.20200201248JC);the Fundamental Research Funds for the Central Universities。
In this paper,we study superlinear elliptic equations with mixed boundary value conditions in annular domains.It is assumed that the nonlinearities depend on the derivative terms.Some results about existence of soluti...
关键词：Mixed boundary value annular domain radial solution gradient term iterative method 
Modified Block Iterative Method for Solving Convex Feasibility Problem, Equilibrium Problems and Variational Inequality Problems
《Acta Mathematica Sinica,English Series》2012年第4期741-758,共18页Shi Sheng ZHANG Chi Kin CHAN H.W.JOSEPH LEE 
Supported by Natural Science Foundation of Yibin University(Z-2009,No.3)
The purpose of this paper is by using the modified block iterative method to propose an algorithm for finding a common element in the intersection of the set of common fixed points of an infinite family of quasi-C-asy...
关键词：Modified block iterative algorithm quasi-φ-asymptotically nonexpansive mapping quasi-φ-nonexpansive mapping relatively nonexpansive mapping generalized projection 
An Alternating Iterative Method and Its Application in Statistical Inference被引量：4
《Acta Mathematica Sinica,English Series》2008年第5期843-856,共14页Ning Zhong SHI Guo Rong HU Qing CUI 
the National Natural Science Foundation of China (Nos.10431010,10501005);Science Foundation for Young Teachers of NENU (No.20070103)
This paper studies non-convex programming problems. It is known that, in statistical inference, many constrained estimation problems may be expressed as convex programming problems. However, in many practical problems...
关键词：semi-convex function alternating iterative method accumulation point maximum likelihood estimation order restriction 
Hua's Theorem on Five Almost Equal Prime Squares被引量：1
《Acta Mathematica Sinica,English Series》2006年第3期907-916,共10页Guang Shi L 
Supported by Tianyuan Mathematics Foundation(Grant No.10526028);the NSF of China(Grant Nos.10301018,10571107)
In this paper we sharpen Hua＇s result by proving that each sufficiently large integer N congruent to 5 modulo 24 can be written as N=p1^2＋p2^2＋p3^2＋p4^2＋p5^2,with │pj-√N/5│≤U=N^1/2-1/28＋ε,where pj are primes.
关键词：Additive theory of prime numbers Circle method iterative method 
The Exceptional Set in Hua's Theorem for Three Squares of Primes被引量：6
《Acta Mathematica Sinica,English Series》2005年第2期335-350,共16页JianYaLIU TaoZHAN 
Supported by The National Science Foundation(Grants #10125101 and #10131010);by a Ministry of Education Major Grant Program in Sciences and Technology
It is proved that with at most O(N^(11/12+ε)) exceptions, all positiveintegers n ≤ N satisfying some necessary congruence conditions are the sum of three squares ofprimes. This improves substantially the previous re...
关键词：waring-goldbach problem circle method iterative method 
Some New Results in Waring's Problem
《Acta Mathematica Sinica,English Series》1996年第3期262-267,共6页Meng Zaizhao, Department of Mathematics Peking University Beijing 100871 China 
Let G(k) denote the smallest number s such that every sufficiently large natural number is the sum of, at most, s k-th powers of natural numbers. In this paper, we give new bounds for G(12), G(13) and G(19).
关键词：Waring’s problom Circle method Iterative method DIFFERENCE 
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