ITERATIVE METHODS FOR OBTAINING AN INFINITE FAMILY OF STRICT PSEUDO-CONTRACTIONS IN BANACH SPACES

In this paper,we introduce a general hybrid iterative method to find an infinite family of strict pseudo-contractions in a q-uniformly smooth and strictly convex Banach space.Moreover,we show that the sequence defined by the iterative method converges strongly to a common element of the set of fixed points,which is the unique solution of the variational inequality<(λφ−νF)z,jq(z−z)>≤0,for z∈⋂_(i=1)^(∞)Γ(S_(i)).The results introduced in our work extend to some corresponding theorems.

Hybrid Extragradient-Type Methods for Finding a Common Solution of an Equilibrium Problem and a Family of Strict Pseudo-Contraction Mappings

This paper proposes a new hybrid variant of extragradient methods for finding a common solution of an equilibrium problem and a family of strict pseudo-contraction mappings. We present an algorithmic scheme that combine the idea of an extragradient method and a successive iteration method as a hybrid variant. Then, this algorithm is modified by projecting on a suitable convex set to get a better convergence property. The convergence of two these algorithms are investigated under certain assumptions.

Convergence Theorems for λ-strict Pseudo-contractions in q-uniformly Smooth Banach Spaces

In this paper, we continue to discuss the properties of iterates generated by a strict pseudo- contraction or a finite family of strict pseudo-contractions in a real q-uniformly smooth Banach space. The results presented in this paper are interesting extensions and improvements upon those known ones of Marino and Xu [Marino, G., Xu, H. K.： Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces. J. Math. Anal. Appl., 324, 336-349 （2007）]. In order to get a strong convergence theorem, we modify the normal Mann＇s iterative algorithm by using a suitable convex combination of a fixed vector and a sequence in C. This result extends a recent result of Kim and Xu [Kim, T. H., Xu, H. K.： Strong convergence of modified Mann iterations. Nonl. Anal., 61, 51- 60 （2005）] both from nonexpansive mappings to λ-strict pseudo-contractions and from Hilbert spaces to q-uniformly smooth Banach spaces.

Weak Convergence Theorems for Strict Pseudo-contractions in Banach Spaces

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.

A NEW ITERATIVE METHOD FOR FINDING COMMON SOLUTIONS OF GENERALIZED EQUILIBRIUM PROBLEM,FIXED POINT PROBLEM OF INFINITE k-STRICT PSEUDO-CONTRACTIVE MAPPINGS,AND QUASI-VARIATIONAL INCLUSION PROBLEM

In this article, we introduce a hybrid iterative scheme for finding a common element of the set of solutions for a generalized equilibrium problems, the set of common fixed point for a family of infinite k-strict pseudo-contractive mappings, and the set of solutions of the variational inclusion problem with multi-valued maximal monotone mappings and inverse-strongly monotone mappings in Hilbert space. Under suitable conditions, some strong convergence theorems are proved. Our results extends the recent results in G.L.Acedo and H.K.Xu [2], Zhang, Lee and Chan [8], Wakahashi and Toyoda [9], Takahashi and Takahashi [I0] and S. S. Chang, H. W. Joseph Lee and C. K. Chan [II], S.Takahashi and W.Takahashi [12]. Moreover, the method of proof adopted in this article is different from those of [4] and [12].

Convergence theorem of common fixed points for Lipschitzian pseudo-contraction semi-groups in Banach spaces

The purpose of this paper is to study the weak convergence problems of the implicity iteration process for Lipschitzian pseudocontractive semi-groups in the general Banach spaces. The results presented in this paper extend and improve the corresponding results of some people.

APPROXIMATION OF FIXED POINTS OF STRICTLY PSEUDO-CONTRACTIVE MAPPING WITHOUT LIPSCHITZ ASSUMPTION

Without the Lipschitz assumption and boundedness of K in arbitrary Banach spaces, the Ishikawa iteration ｛x n｝ ∞ n=1 defined byx 1∈K,\ x n+1 =(1-α n)x n+α nTy n,\ y n=(1-β n)x n+β nTx n,\ n≥1satisfying 0<α n,β n<1 ,for all n≥1;∑ ∞ n=1 α n=∞;α n→0,β n→0 as n→∞ is proved to converge strongly to the unique fixed point of T ,where T:K→K is a uniformly continuous strictly pseudo\|contractive operator with bounded range.

CQ Method for Strictly Pseudo-Contractive Mapping

This paper obtains a strong convergence theorem for k-strictly pseudo-contractive mapping under the framework of Hilbert spaces using CQ method. Due to the fact that non-expansive mapping is only O-strictly pseudo-contractive, the main result obtained in this paper extends the corresponding main result of Nakajo-Takahashi from non-expansive mapping to k-strictly pseudo-contractive one, where k∈ [0,1）.

Traumatic mating causes strict monandry in a wolf spider

DEAR EDITOR,We identified strict monandry in a wandering wolf spider species(Pardosa pseudoannulata) and revealed the underlying mechanisms of this mating structure. Evidence indicated that males damaged the inner walls of the female genital tract with the sharp part of their intromittent organ during insemination. The traumatic mating caused hemolymph hemorrhage, which mixed with seminal fluid and gradually formed an impermeable amorphous mating plug after about15 days, completely blocking the female copulatory opening.

非仿射非线性系统控制综述

作为仿射非线性系统更一般化的描述,非仿射非线性系统所对应的实际应用更加广泛,也更贴近实际。因此,研究非仿射非线性系统的控制问题十分重要。然而,非线性系统的非仿射特性会使控制信号以非线性函数形式出现在闭环系统中,从而带来诸如控制方向未知、奇异、过零等问题。由此,解决非仿射非线性系统的控制问题面临着巨大的挑战。基于此,介绍了仿射、严格反馈和高阶系统的相关背景知识,总结和分析了解决非仿射非线性系统控制的3种解决思路,包括函数变换法、参考模型法和数据驱动法。在已有的研究成果基础上,指出非仿射非线性系统研究领域所面临的挑战和发展趋势。

制度视角下全面从严治党的体系、逻辑与效能

深入推进全面从严治党是党的建设新的伟大工程的重要内容,也是实现中华民族伟大复兴的重大战略部署。制度建设是全面从严治党的关键,不仅贯穿始终,而且具有基础性和根本性。从制度视角分析,在全面从严治党体系中,由结构与功能不同的各项制度组成的全面从严治党制度体系,蕴含着全面从严治党所内含的体现在价值、规范与执行三个维度上的制度逻辑,其效能在于实现了党的价值原则与政治实践的有机统一,构建起以党的长期执政为核心的国家秩序,并为推进国家治理体系和治理能力现代化提供了内在驱动力。

习近平总书记关于党的建设的重要思想的核心要义与时代价值

高度重视和不断加强党的自身建设一以贯之于党的历史进程中,激励党不断从胜利走向新的胜利。新时代,习近平总书记提出一系列管党治党的新理念新思想新战略,深刻阐明了新时代党的建设的根本原则、科学布局与重点任务等,形成了习近平总书记关于党的建设的重要思想。这一思想不仅深刻指明政党建设在国家治理中的重要战略地位,而且彰显了执政党的使命担当与为民情怀,对于推进新时代党的建设新的伟大工程具有重要意义。

推动党内监督和党外监督贯通协同:依据、效力与进路

推动党内监督和党外监督贯通协同根源于马克思主义经典作家的权力监督思想,审视于西方权力制约与监督思想的批判扬弃,实践于中国共产党人对百年监督历程的探索。推动党内监督和党外监督贯通协同对于党走好长期执政条件下解决自身问题、跳出历史周期率的成功之路具有重大的价值意蕴。新时代,各类监督方式、监督环节、监督领域的关联性和交融性显著增强,但监督领域贯通不深、协同不畅的问题依然存在。通过做好顶层设计、畅通监督梗阻、规范工作流程、压实各级责任,进一步推动党内监督和党外监督贯通协同,释放出更为强大的监督效能。

大党“破题之钥”:以全过程人民民主健全全面从严治党体系

如何跳出治乱兴衰历史周期率,破解大党独有难题,是中国共产党坚持探索的重要问题,也是关系民族复兴大业的关键所在。基于对大党独有难题理论意蕴的把握,可以发现,全过程人民民主和全面从严治党是在实践中形成的跳出历史周期率的“两个答案”:全面从严治党具有从严以尚贤、任贤而兴民、民主护安邦的思想基础,并蕴含在其全面性、严格性和治理性的内在特质之中;而全过程人民民主既为全面从严治党提供了实践标尺,同时其发展也需要以全面从严治党作为保障。未来应通过发展维护党的全面领导的有效体制机制,探索人民群众监督与党内监督有机结合的有效方式,拓宽全面从严治党“靠人民”的有效渠道,进一步以全过程人民民主健全全面从严治党体系,将中国共产党的执政优势转化为实现中华民族伟大复兴的强大动能。

新时代公立医院全面从严治团工作路径研究

目的:调研公立医院团组织自身建设情况,探索新时代公立医院全面从严治团的工作路径。方法:采用问卷调查法,对北京市19所公立医院的1 435名团员和青年进行问卷调查。结果:团组织“第一议题”学习机制已基本落实到位,多数医院已成立青年理论学习小组并开展学习,但77.36%的团员和青年每周自主开展的理论学习时长<2小时;团委班子职数设置和书记、副书记配备基本规范,团支部设置大多数与党支部、科室设置有对应关系,团员和青年对团组织评价高,但只有15.79%的医院设置了除团委书记外的专职团干部;团组织能够对团员和青年经常开展纪法教育和提醒,但38.73%的团干部或团员没有接受过《中国共产主义青年团纪律处分条例(试行)》培训,团干部接受过培训的比例高于普通团员(P<0.001)。结论:要创新思想引领的形式和载体,增强团员和青年政治理论学习的积极性;配齐配强配优专职团务人员,增强团干部能力素质和工作本领;健全完善纪律教育机制,增强团员和青年遵纪守法的意识和能力。

直流变换器广义对偶与相通性探讨

提出严格对偶和广义对偶的概念,探讨直流变换器的对偶性与相通性。对于三大类直流变换器,即Buck类、Boost类、Buck-Boost类变换器,包括隔离型和非隔离型,推导其严格对偶变换器,并分析可能存在的广义对偶变换器。对于一个已知的基本变换器,发现存在3个与其对偶的变换器,其中一个为严格对偶,两个为广义对偶。采用相通性,分析组合变换器与基本变换器之间的关联及在变换器推演上用到的相似处理方法,有利于变换器拓展与延伸。将软开关直流变换器看作是直流变换器与软开关电路的组合,可采用对偶与相通的方法对其进行研究。重点研究准谐振变换器的广义对偶与严格对偶,简要分析其余软开关直流变换器的对偶性。最后,通过分析直流变换器和软开关直流变换器仿真波形上的对偶性,验证理论分析的正确性。

新时代加强党纪学习教育的多维度解析

开展党纪学习教育是以习近平同志为核心的党中央加强纪律建设、纵深推进全面从严治党的重要举措,也是提升党和国家监督体系治理效能的内在要求。在以中国式现代化全面推进中华民族伟大复兴的新征程上,开展党纪学习教育对于统筹“两个大局”应对风险挑战、推进新时代党的建设新的伟大工程、完善党的自我革命制度规范体系以及深刻领悟“两个确立”的决定性意义具有重要意义。而无产阶级政党理论的运用与发展、党重视纪律教育的优良传统、新时代党的建设经验的巩固升华构成了开展党纪学习教育理论之基、历史之维和实践之路。为此,开展党纪学习教育,必须在准确把握“党的六大纪律”的主旨要义和规定要求上下功夫,扎实推进党纪学习教育走深走实;必须在运用系统思维,强化思想引领、立足时代高位、严明纪律要求等上下功夫,切实把党纪学习教育成果转化为党和国家监督体系治理效能。

中国共产党自我革命的重大意义、基本内涵及实践要求

中国共产党自我革命不是要把党的历史否定,把党的宗旨改变;而是在保持党的先进性纯洁性的同时,消除一切不利于党的发展、党的建设的因素,使党能够始终保持初心使命,不忘本来理想信念,始终与中国人民同呼吸共命运。中国共产党自我革命体现了以人民为中心的思想,是党对治乱兴衰规律百余年探索的最新成果,是全面建设社会主义现代化国家、全面推进中华民族伟大复兴的根本保证,是我们党区别于其他政党的显著标志,兼具主体要素和实践指向的复合概念,体现了中国共产党人在破解历史周期率问题上实现了党的建设的“合力”。中国共产党自我革命是一场高水平高质量的革命,不断全面推进党的自我净化、自我完善、自我革新、自我提高能力建设,锲而不舍整治“四风”,以严明纪律管全党治全党,一体推进不敢腐、不能腐、不想腐,将反腐败作为党自我革命必须长期抓好的重大政治任务是这场革命的实践要求。

新时代党建引领基层治理的价值意蕴、困境审视与实践路径

新时代,党建引领成为中国共产党深化基层治理改革创新、推动基层治理现代化的重要制度安排,具有深厚的历史逻辑、深刻的理论逻辑和现实逻辑。坚持党建引领,这是百年党史中中国共产党基层治理的经验传承,是政党领导下坚持党的全面领导的内在要求,是社会转型中政党回应基层变革的制度优势。新时代,以党建引领基层治理,首要前提是夯实基层党建,筑牢引领基层治理的组织基础;重要保障是健全体制机制,创新引领基层治理的制度支撑;关键环节是提升治理能力,增强引领基层治理的内在动力。

论个人基因信息保护与披露的界限

知情同意机制难题是大数据时代个人信息保护的瓶颈。在多个领域和多样化应用场景下,个人信息保护面临信息保护与披露、个人利益与公共利益等多个面向的冲突,而患者的基因信息是冲突较为激烈的领域。个人的基因信息属于重要的健康信息,医生必须严格遵守知情同意原则,不得任意向他人披露。但医生对于患者与其亲属或其近亲属之间共有的遗传性基因信息进行有限度的、最小化程度的披露,应当为法律所允许。基因信息的隐私权保护路径过于强调患者的知情同意权,有违基因信息的公共性和公共价值。基因信息的共管保护路径重视基因信息的公共性,能够在法律上和医疗业务上设立一种保密与披露相抗衡或者相平衡的机制。