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We establish a pre-order principle. From the principle, we obtain a very general set-valued Ekeland variational principle, where the objective function is a set-valued map taking values in a quasi ordered linear space and the perturbation contains a family of set-valued maps satisfying certain property. From this general set-valued Ekeland variational principle, we deduce a number of particular versions of set-valued Ekeland variational principle, which include many known Ekeland variational principles, their improvements and some new results.arXiv:1311.4951v1 fatcat:ra5bwn7k2rahfdanr56k5djz2y
Let (E,ξ)= ind(E_n, ξ_n) be an inductive limit of a sequence (E_n, ξ_n)_n∈ N of locally convex spaces and let every step (E_n, ξ_n) be endowed with a partial order by a pointed convex (solid) cone S_n. In the framework of inductive limits of partially ordered locally convex spaces, the notions of lastingly efficient points, lastingly weakly efficient points and lastingly globally properly efficient points are introduced. For several ordering cones, the notion of non-conflict is introduced.arXiv:1312.2663v1 fatcat:c4utj7oegnbc7b6i2yrkejynum
more »... the requirement that the sequence (S_n)_n∈ N of ordering cones is non-conflicting, an existence theorem on lastingly weakly efficient points is presented. From this, an existence theorem on lastingly globally properly efficient points is deduced.
In my former paper "A pre-order principle and set-valued Ekeland variational principle" (see: arXiv: 1311.4951[math.FA]), we established a general pre-order principle. From the pre-order principle, we deduced most of the known set-valued Ekeland variational principles (denoted by EVPs) and their improvements. But the pre-order principle could not imply Khanh and Quy's EVP in [On generalized Ekeland's variational principle and equivalent formulations for set-valued mappings, J. Glob. Optim., 49arXiv:1405.1522v1 fatcat:rfhjr4vewzh67hlf6n76aik5za
more »... 2011), 381-396], where the perturbation contains a weak τ-function. In this paper, we give a revised version of the pre-order principle. This revised version not only implies the original pre-order principle, but also can be applied to obtain the above Khanh and Quy's EVP. Thus, the revised pre-order principle implies all the known set-valued EVPs in set containing forms (to my knowledge).
Moreover, Qiu and Zagrodny [7, Theorem 4.1], Tammer and Zȃlinescu [51, Theorem 6.2], Liu and Ng [35, Theorem 3.5(ii)], Gutiérrez, Jiménez and Novo [22, Theorem 5.12], Qiu [42, Theorem 6.8] and Qiu [44 ... Inspired by Ha's work, Qiu  obtained an improvement of the Ha's result by using Gerstewitz's functionals. ...arXiv:1708.05126v1 fatcat:zkqadbg4cjdrdmmdu3i3ta5xte
Music therapy, as a non-drug therapy, is widely used in patients with COPD. However, the effects of music therapy on dyspnea, anxiety, depression and other physiological parameters has not been elucidated. Therefore, we sought to investigate the effects of passive music therapy (listening to music) and mixed music (combination of listening and singing) in adults with COPD. A systematic literature search was performed in PubMed, Cochrane, Embase, Web of Science, China National Knowledgedoi:10.4187/respcare.07489 pmid:33144384 fatcat:3jsx4ispvbd63gaozfxnluhyyq
more »... cture, VIP, and Wanfang Data up to June 26, 2019. All randomized controlled trials that compared music with usual care or other non-musical types of intervention in subjects with COPD were included in the study. The risk of bias for randomized controlled trials was assessed with the Cochrane risk of bias tool. Outcomes included dyspnea, anxiety, depression, sleep quality, and quality of life, as well as physiological parameters (eg, blood pressure and breathing frequency). After initial screening of 216 potentially relevant records, 59 studies were eligible, and 12 studies with 812 participates met the inclusion criteria and were included in the final meta-analysis. Analysis showed that music therapy had a significant effect in relieving dyspnea (mean difference: -0.69, 95% CI -0.80 to -0.58, P < .001) and anxiety (standardized mean difference: -1.87, 95% CI -2.72 to -1.02, P < .001) in adults with COPD. Compared with the control group, music had no statistically significant effect on depression or St George Respiratory Questionnaire score. However, when it came to improving sleep quality, music reduced the total Pittsburgh Sleep Quality Index score (P < .001). In addition, the pooled results showed that there was a significant improvement in systolic blood pressure (mean difference: -7.45, 95% CI -10.95 to -3.96, P < .001) and diastolic blood pressure (mean difference: -4.07, 95% CI -7.03 to -1.12, P = .007) in the music group compared to the control. Music therapy is effective in reducing dyspnea and anxiety in subjects with COPD. Additionally, music therapy may also improve sleep quality and physiological parameters of subjects with COPD. However, our conclusions need to be supported further by larger and longer well-designed trials.
, Nan Jing, China, in 2005. ... Hui Xu received the BEng and MEng degrees in Communication Engineering from Shanghai Jiaotong University, Shanghai, P. R. China, in 2004 and 2004, respectively. ...arXiv:1610.05431v1 fatcat:cie4gc6ncnd3dlzrn5f52fk6xe
By using the concept of local completeness, we extend Danes' Drop Theorem to locally convex spaces. 2002 Elsevier Science (USA)doi:10.1006/jmaa.2001.7709 fatcat:dggonndztbgn3mhif5q23r7bda
QIU AND K. MCKENNON identlcal ,which yields the above-cited result of  as a direct consequence). ... QIU AND R. MCKENNON orol lrv llows .rom Theorems and 2. .E.D. continuous semi-norm p E hav p( m+kd Zmd 3.3) 4. COUNTER-EXAMPLES. ...doi:10.1155/s0161171291000224 fatcat:au6fglcs2rgjjhkwvlg6333tbm
强自旋轨道耦合化合物 Sr 2−x La x IrO 4 的掺杂和拉曼谱学 Doping and Raman scattering of strong spin-orbit-coupling compound Sr 2−x La x IrO 4doi:10.7498/aps.64.217403 fatcat:js67x7oo7bfujeml6my57rszvq
doi:10.1111/cns.13097 pmid:30600649 pmcid:PMC6488885 fatcat:55mxqd3llvc4jeozj25hdohobu
This paper introduced WGS-84 and BJ-54 coordinate transformation model and the influence comparison from geodetic elevation between seven-parameter model and three-parameter model, and finished transformation parameters calculation and accuracy analysis of BJ-54 coordinate system at home and the world 84 coordinate system by an example, which had some reference to other GPS measurement projects.doi:10.1016/j.proenv.2012.01.271 fatcat:vhoobfcxvbbjrnw2trlytxl7ve
Recent studies have reported that the gut microbiota influences mood and cognitive function through the gut-brain axis, which is involved in the pathophysiology of neurocognitive and mental disorders, including Parkinson's disease, Alzheimer's disease, and schizophrenia. These disorders have similar pathophysiology to that of cognitive dysfunction in bipolar disorder (BD), including neuroinflammation and dysregulation of various neurotransmitters (i.e., serotonin and dopamine). There is alsodoi:10.3389/fphar.2022.893567 pmid:35677440 pmcid:PMC9168430 fatcat:2ok7zztfobf45mjuhhxgyzu6rm
more »... rging evidence of alterations in the gut microbial composition of patients with BD, suggesting that gut microbial dysbiosis contributes to disease progression and cognitive impairment in BD. Therefore, microbiota-centered treatment might be an effective adjuvant therapy for BD-related cognitive impairment. Given that studies focusing on connections between the gut microbiota and BD-related cognitive impairment are lagging behind those on other neurocognitive disorders, this review sought to explore the potential mechanisms of how gut microbial dysbiosis affects cognitive function in BD and identify potential microbiota-centered treatment.
E64, o1484 [doi:10.1107/S1600536808019132] trans-4-(1-Naphthyl)-2-oxo-1,3-oxazolidine-5-carboxylic acid Jiao-Yan Yang, Zhi-Hui Ming, Jing An, Qiu-Lin Hua and Liang-Qiu Lu S1. ...doi:10.1107/s1600536808019132 pmid:21203196 pmcid:PMC2962114 fatcat:cmcr2bu5krht5gdxq66awej5xe
A weaker Mackey topology, infra-Mackey topology, is introduced. For an infra-Mackey space, dual local quasi-completeness, c 0 -quasi-barrelledness, Ruess' property (quasi-L) and C-quasibarrelledness are equivalent to each other. Inspired by the definition of Mazur spaces, locally convex spaces are classified according to various conditions ensuring linear functionals continuous. In the classification, every class of special locally convex spaces is characterized by some completeness of thedoi:10.1016/j.jmaa.2003.12.028 fatcat:koxmewugoben5did2wxlgiyise
more »... . From this, some new characterizations of quasi-barrelledness and barrelledness are given. 2004 Elsevier Inc. All rights reserved.
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