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Weak Convergence Theorems for Strict Pseudo-contractions in Banach Spaces

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Acta Mathematica Sinica,English Series 2014年第5期30卷 755-766页

作者： hai yun zhou Department of Mathematics Shijiazhuang Mechanical Engineering College

In this paper, it is shown that there is a gap in the paper [Chidume, C. E., Shahzad, N.： Weak convergence theorems for a finite family of strict pseudo-contractions. Nonlinear Anal., 72, 1257–1265（2010）], consequently, the main results of the paper do not hold in uniformly smooth Banach spaces. Meanwhile, it is also shown that the main results（Lemma 3.4, Theorems 3.5–3.6, 3.8–3.9） in the paper [Cholamjiak, P., Suantai, S.： Weak convergence theorems for a countable family of strict pseudo-contractions in Banach spaces. Fixed Point Theory Appl., 2010, Article ID 632137, 16 pages（2010）] do not hold in Lpfor p 〉 3. Finally, some modified results are presented in the setting of uniformly smooth and uniformly convex Banach spaces which include Lpfor p ≥ 2 as special cases. Furthermore, our arguments are also different from the ones given by the authors above.

关键词： Fr′echet differentiable Banach spaces Reich's inequality a countable family of λ-strict pseudo-contractions normal Mann iteration algorithm weak convergence theorems

Strong Convergence Theorems of Common Elements for Equilibrium Problems and Fixed Point Problems in Banach Spaces

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Acta Mathematicae Applicatae Sinica 2012年第2期28卷 337-350页

作者： Xing-hui GAO hai-yun zhou College of Mathematics and Computer Science Yanan UniversityYanan 716000China Department of Mathematics Shijiazhuang Mechanical Engineering UniversityShijiazhuang 050003China

In this paper, we consider hybrid algorithms for finding common elements of the set of common fixed points of two families quasi-C-non-expansive mappings and the set of solutions of an equilibrium problem. We establish strong convergence theorems of common elements in uniformly smooth and strictly convex Banach spaces with the property （K）.

关键词： strong convergence projection quasi-Ф-nonexpansive mapping common elements theproperty (K)

Existence of Solutions to Nonlinear Neumann Boundary Value Problems with p-Laplacian Operator and Iterative Construction

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Acta Mathematicae Applicatae Sinica 2011年第3期27卷 463-470页

作者： Li Wei hai-yun zhou Ravi P. Agarwal School of Mathematics and Statistics Hebei University of Economics and Business Shijiazhuang 050061 China Institute of Applied Mathematics Ordnance Engineering College Shijiazhuang 050003 China Department of Mathematical Sciences Florida Institute of Technology Melbourne FL 32901 U.S.A.

By using some results of pseudo-monotone operator, we discuss the existence and uniqueness of the solution of one kind nonlinear Neumann boundary value problems involving the p-Laplacian operator. We also construct an... 详细信息

关键词： maximal monotone operator pseudo-monotone operator p-Laplacian operator iterative scheme

Mechanism study on UV-induced photodegradation of nonylphenol ethoxylates by intermediate products analysis

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Chinese Chemical Letters 2007年第4期18卷 473-475页

作者： Ling Chen hai yun zhou Lan Liu Qin Ying Deng School of Chemistry and Chemical Engineering Sun Yat-Sen University Guangzhou 510275 China Instrumental Analysis and Research Center Sun Yat-Sen University Guangzhou 510275 China

Photodegradation of nonylphenol ethoxylates （NPloEO） was investigated in laboratory scale under UV irradiation. The intermediate photodegradation products were analyzed by LC-ESI-MS. Three kinds of intermediate products including aldehydic compounds, carboxylic compounds and cyclohexanyl compounds were identified. Five main degradation routes involving the oxidation of the alkyl chain and ethoxylate unit, shortening of the alkyl chain and ethoxylate unit, hydrogenation of the benzene ring were proposed.

关键词： Photodegradation Nonylphenol ethoxylates Intermediate products Mechanism study

The Applications of Perturbations on Accretive Mappings to Nonlinear Elliptic Systems Related to Generalized(p,q)-Laplacian

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Journal of Mathematical Research and Exposition 2010年第5期30卷 909-919页

作者： Li WEI hai yun zhou School of Mathematics and Statistics Hcbei University of Economics and Business Hcbci 050061 P. R. China Institute of Applied Mathematics and Mechanics Ordnance Engineering College Hebei 050003 P. R. China

Using perturbation results on the sums of ranges of nonlinear accretive mappings of Calvert and Gupta, we present some abstract results for the existence of the solutions of nonlinear Neumann elliptic systems which is related to the so-called generalized （p, q）-Laplacian in this paper. The systems discussed in this paper and the method used extend and complement some of the previous work.

关键词： accretive mapping generalized (p, q)-Laplacian nonlinear elliptic systems.

Chiral Recognition and Photoreaction of β-Amino Acids with Iridium(III)Complexes

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Chinese Journal of Chemistry 2022年第24期40卷 2909-2918页

作者： Ming-Feng Xiong hai-yun zhou Xiao-Kang Huang Jing-Yan Fan Bao-Hui Ye MOE Key Laboratory of Bioinorganic and Synthetic Chemistry School of ChemistrySun Yat-sen UniversityGuangzhouGuangdong510275 China Instrumental Analysis and Research Center Sun Yat-sen UniversityGuangzhouGuangdong510275 China

β-Amino acids(AAs),homologs ofα-AAs,are important building blocks of biological ***,chiral recognitions ofβ-AAs with Ir(III)complexes are reported,in favor of formation of the thermodynamically stableΛ-[Ir(pq)_(2)(D-β-AAs)]andΔ-[Ir(pq)_(2)(L-β-AAs)](pq is 2-phenylquinoline)*** photoreactions of[Ir(pq)_(2)(β-AA)]complexes are observed in an EtOH solution in the presence of O_(2) at room *** primaryβ-AAs complexes,such as rac-[Ir(pq)_(2)(β-ala)](β-ala isβ-alanine),Δ-[Ir(pq)_(2)(D-β-ma)]andΛ-[Ir(pq)_(2)(D-β-ma)](β-ma isβ-methylalanine),Δ-[Ir(pq)_(2)(D-β-pa)]andΛ-[Ir(pq)_(2)(D-β-pa)](β-pa isβ-phenylalanine),and rac-[Ir(pq)_(2)(β-dma)](β-dma is 3,3-dimethyl-β-alanine),are interligand C—N cross-coupling in situ between pq andβ-AAs *** secondaryβ-AA complexesΔ-[Ir(pq)_(2)(L-β-pro)]andΛ-[Ir(pq)_(2)(L-β-pro)](β-pro isβ-proline,2-(pyrrolidin-2-yl)acetic acid)are dehydrogenatively oxidized into imino acid complexesΔ-[Ir(pq)_(2)(L-β-pro-2H^(β)’)]andΛ-[Ir(pq)_(2)(L-β-pro-2H^(β)’)](L-β-pro-2H^(β)’=2-(3,4-dihydro-2H-pyrrol-2-yl)acetic acid),***,the dehydrogenative reaction inΔ-[Ir(pq)_(2)(L-β-pro)]diastereomer is regioselective depending on the reaction temperature,affordingΔ-[Ir(pq)_(2)(L-β-pro-2H^(β)’)]andΔ-[Ir(pq)_(2)(L-β-pro-2H^(β))](β-pro-2H^(β)=2-(3,4-dihydro-2H-pyrrol-5-yl)acetic acid)at low *** chiral recognitions and photoreactions of Ir(III)-β-AAs complexes are much different from the previous observations in Ir(III)-α-AAs complexes.

关键词： Photooxidation Chiral recognition Regioselectivity Enantioselectivity β-Amino acid

Shrinking Projection Methods for a Family of Quasi-φ-Strict Asymptotically Pseudo-Contractions in Banach Spaces

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Journal of Mathematical Research and Exposition 2011年第5期31卷 905-914页

作者： Xing Hui GAO hai yun zhou College of Mathematics and Computer Science Yan'an University Shaanxi 716000 P. R. China Department of Basic Courses Shijiazhuang Mechanical Engineering College Hebei 050003 P. R. China

The purpose of this article is to propose a shrinking projection method and prove a strong convergence theorem for a family of quasi-φ-strict asymptotically pseudo-contractions. Its results hold in reflexive, strictly convex, smooth Banach spaces with the property （K）. The results of this paper improve and extend the results of Matsushita and Takahashi, Marino and Xu, zhou and Gao and others.

关键词： strong convergence a family of quasi-φ-strict asymptotically pseudo-contractions generalized projection shrinking projection method Banach spaces.

Strong Convergence Theorems for a Family of Quasi-φ-Asymptotically Nonexpansive Mappings

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Journal of Mathematical Research and Exposition 2011年第2期31卷 303-314页

作者： King Hui GAO hai yun zhou College of Mathematics and Computer Science Yah'an University Shaanxi 716000 P. R. China Department of Mathematics People's Liberation Army Ordnance Engineering College Hebei 050003 P. R. China

The purpose of this article is to propose a modified hybrid projection algorithm and prove a strong convergence theorem for a family of quasi-φ-asymptotically nonexpansive *** results hold in reflexive,strictly convex,smooth Banach spaces with the property（K）.The results of this paper improve and extend recent some relative results.

关键词： quasi-φ-asymptotically nonexpansive mapping hybrid algorithm generalized projection strong convergence theorem

A Weak Convergence Theorem for Equilibrium Problems,Variational Inequalities and Fixed Point Problems in 2-Uniformly Convex Banach Spaces

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Journal of Mathematical Research and Exposition 2011年第3期31卷 551-561页

作者： Li WEI Rui Lin TAN hai yun zhou School of Mathematics and Statistics Hebei University of Economics and Business Hebei 050061 P. R. China Institute of Applied Mathematics and Mechanics Ordnance Engineering College Hebei 050003 P. R. China

In this paper,we introduce a new iterative scheme for finding the common element of the set of solutions of an equilibrium problem,the set of solutions of variational inequalities for an α-inversely strongly monotone operator and the set of fixed points of relatively nonexpansive mappings in a real uniformly smooth and 2-uniformly convex Banach *** weak convergence theorems are obtained,to extend the previous work.

关键词： relatively nonexpansive mapping α-inversely strongly monotone operator equilibrium problem variational inequality weak convergence fixed point.