GENERALIZED PROJECTION AND APPROXIMATION FOR GENERALIZED VARIATIONAL INEQUALITIES SYSTEM IN BANACH SPACES

He, Xin-Feng,Xu, Yong-Chun,He, Zhen The Youngnam Mathematical Society Korea 2008 East Asian mathematical journal Vol.24 No.1

The approximate solvability of a generalized system for non-linear variational inequality in Hilbert spaces was studied, based on the convergence of projection methods. But little research was done in Banach space. The primary reason was that projection mapping lacked preferably property in Banach space. In this paper, we introduced the generalized projection methods. By using these methods, the results presented in this paper extended the main results of S. S. Chang [3] from Hilbert spaces to Banach space.

STRONG CONVERGENCE THEOREMS FOR ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS AND INVERSE-STRONGLY MONOTONE MAPPINGS

He, Xin-Feng,Xu, Yong-Chun,He, Zhen The Youngnam Mathematical Society 2011 East Asian mathematical journal Vol.27 No.1

In this paper, we consider an iterative scheme for finding a common element of the set of fixed points of a asymptotically quasi nonexpansive mapping and the set of solutions of the variational inequality for an inverse strongly monotone mapping in a Hilbert space. Then we show that the sequence converges strongly to a common element of two sets. Using this result, we consider the problem of finding a common fixed point of a asymptotically quasi-nonexpansive mapping and strictly pseudocontractive mapping and the problem of finding a common element of the set of fixed points of a asymptotically quasi-nonexpansive mapping and the set of zeros of an inverse-strongly monotone mapping.

Strong convergence theorems for asymptotically quasi-nonexpansive mappings and inverse-strongly monotone mappings

Xin-feng He,Yong-chun Xu,Zhen He 영남수학회 2011 East Asian mathematical journal Vol.27 No.1

In this paper, we consider an iterative scheme for finding a common element of the set of fixed points of a asymptotically quasi-nonexpansive mapping and the set of solutions of the variational inequality for an inverse strongly monotone mapping in a Hilbert space. Then we show that the sequence converges strongly to a common element of two sets. Using this result, we consider the problem of finding a common fixed point of a asymptotically quasi-nonexpansive mapping and a strictly pseudocontractive mapping and the problem of finding a common element of the set of fixed points of a asymptotically quasi-nonexpansive mapping and the set of zeros of an inverse-strongly monotone mapping.

GENERALIZED PROJECTION AND APPROXIMATION FOR GENERALIZED VARIATIONAL INEQUALITIES SYSTEM IN BANACH SPACES

Xin-Feng He,Yong-Chun Xu,Zhen He 영남수학회 2008 East Asian mathematical journal Vol.24 No.1

The approximate solvability of a generalized system for nonlinear variational inequality in Hilbert spaces was studied, based on the convergence of projection methods. But little research was done in Banach space. The primary reason was that projection mapping lacked preferably property in Banach space. In this paper, we introduced the generalized projection methods. By using these methods, the results presented in this paper extended the main results of S. S. Chang [3] from Hilbert spaces to Banach space.

Lack of Association of Glutathione S-transferase M3 Gene Polymorphism with the Susceptibility of Lung Cancer

Feng, Xu,Dong, Chun-Qiang,Shi, Jun-Jie,Zhou, Hua-Fu,He, Wei,Zheng, Bao-Shi Asian Pacific Journal of Cancer Prevention 2012 Asian Pacific journal of cancer prevention Vol.13 No.9

Objective: The conclusions of published reports on the relationship between the glutathione S-transferase M3 (GSTM3) A/B gene polymorphism and the risk of lung cancer are still debated. This meta-analysis was performed to evaluate the association between GSTM3 and the risk of lung cancer. Methods: Association investigations were identified from PubMed, Embase, and Cochrane Library, and eligible studies were included and synthesized using a meta-analysis method. Results: Eight reports were included into this meta-analysis for the association of GSTM3 A/B gene polymorphism and lung cancer susceptibility, covering 1,854 patients with lung cancer and 1,926 controls. No association between the GSTM3 A/B gene polymorphism and lung cancer was found in this meta-analysis (B allele: OR = 1.25, 95% CI: 0.89-1.76, P = 0.20; BB genotype: OR = 1.53, 95% CI: 0.71-3.32, P = 0.28; AA genotype: OR = 0.85, 95% CI: 0.59-1.23, P = 0.39). Conclusions: The GSTM3 A/B gene polymorphism is not associated with lung cancer susceptibility. However, more studies on the relationship between GSTM3 A/B gene polymorphism and the risk of lung cancer should be performed in the future.

Research on DC Component Disturbance Suppression Strategy of Islanded T-Type Three-Level Inverter Based on Improved Backstepping Control Theory

He Guo-Feng,Zhou Zi-Chun,Luo Shuang,Li Gou-Jiao 대한전기학회 2024 Journal of Electrical Engineering & Technology Vol.19 No.3

Aiming at the problem that the DC component in the output voltage of the T-type three-level inverter in the island mode is obvious, due to its hardware diferences, a nonlinear control strategy combining the backstepping method, sliding mode theory, and the principle of the second-order generalized integrator (SOGI) is proposed. Firstly, the DC component in the output voltage of the inverter is regarded as a disturbance, and the mathematical model of the inverter with DC component disturbance is established. Secondly, the detected neutral point potential deviation of the DC side of the inverter is compensated to the modulation signal by proportional–integral (PI) control, to maintain the normal operating state of the three-level inverter. Then, the backstepping-sliding mode controller is constructed to improve the robustness T-type three-level inverter. And the SOGI is utilized to overcome the shortcomings of backstepping control which is easy to amplify the measurement noise and cause diferential explosion. Meanwhile, the stability of the designed controller is analyzed by using the Lyapunov stability principle. Finally, the efectiveness of the proposed control strategy is verifed by 10 kW prototype. The experimental results show that the proposed control strategy can not only efectively suppress the DC component of the inverter output voltage and improve the robustness of the system, but also has fast dynamic characteristics.

Parameter design method for the heat transfer performance of a fan-driven gearbox under planetary gear opening and oil-return conditions

Feng-xia Lu,Lijuan Yuan,Zhiqiang Zhao,Chun-lei Wang,He-yun Bao 대한기계학회 2021 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.35 No.9

On the basis of the computational fluid dynamics (CFD) method, this study calculates the surface convective heat transfer coefficients of the sun gear, planetary gear, ring gear, and bearing before and after the opening of the planetary gear of a fan-driven gearbox. A numerical fitting method is used to establish the calculation model of the convective heat transfer coefficients of the sun gear, planetary gear, ring gear, and bearing under the open-hole oilreturn condition. The convective heat transfer coefficients of each element are compared before and after the hole is bored, and the design method for the gearbox parameters with the objective of heat transfer performance is proposed. Result shows that the convective heat transfer coefficients of each element are increased after oil is returned from the hole of the planetary gear, and the change rate of the convective heat transfer coefficient of the raceway in the planetary gear bearing is the highest. When the aperture of the planetary gear is 7 mm and the number of holes is four, the heat transfer performance of the gearbox is the best. The maximum error between the convection heat transfer coefficient fitting formula value and the CFD simulation calculation result is 1.0558 %.

Temperature impact analysis of star gear bearing inner ring based on under-race lubrication passage

He-yun Bao,Chun-lei Wang,Feng-xia Lu 대한기계학회 2020 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.34 No.12

In order to reduce the inner ring temperature and the oil consumption, temperature impact of star gear bearing inner ring based on under-race lubrication passage is analyzed, the flow and temperature fields of the inner ring are simulated using the realizable k-ɛ turbulence model based on the computational fluid dynamics (CFD) method, and experimental verification is performed. The results indicate that adding annular grooves to the star gear cylindrical roller bearing has a significant impact in reducing the temperature of the inner ring, and annular grooves with different cross-sectional sizes have different impacts in reducing the temperature of the inner ring. When the cross-sectional area of the annular grooves is 5 × 1.5 mm, the temperatures of the inner raceway of the left and right bearing decrease from 123.95 and 111.98 °C to 104.3 and 101.4 °C, respectively.

Development of AFLP and SCAR Markers Linked to a Recessive Genic Male Sterile Gene (Bnms3) in Rapeseed for Marker-assisted Selection

Gui Chun Wang,Jun Ping He,Deng Feng Hong,Yan Zhou Xie,Zheng Hua Xu,Ping Wu Liu,Guang Sheng Yang 한국유전학회 2007 Genes & Genomics Vol.29 No.4

9012AB is a recessive genic male sterility (RGMS) line in rapeseed, of which the male sterility is controlled by two pairs of recessive duplicate male sterile genes (Bnms3 and Bnms4) interacting with a recessive epistatic suppressor gene (esp). The recessive homozygosity at the esp locus (espesp) can suppress the expression of the recessive male sterility trait in homozygous plants (Bnms3Bnms3Bnms4Bnms4) and result in fertility restoration. A F2 population of 188 plants, derived from self-pollinated progenies of a 9012 AB fertile plants (BnMs3Bnms3Bnms4Bnms4EspEsp), was conducted to identify molecular markers linked to the recessive male sterility gene (Bnms3). By amplified fragment length polymorphism (AFLP) assay combining with bulked segregant analysis (BSA), 13 markers linked to Bnms3 were identified. Linkage analysis indicated that 13 AFLP markers were tightly linked to the Bnms3 gene with a genetic distance varying from 1.3 cM to 7.1 cM. Among them, one marker was co-dominant marker, 6 markers were in coupling phase with Bnms3, and the others were in repulsion phase with Bnms3 gene, One AFLP marker with a genetic distance of 1.4cM was further converted into a SCAR marker successfully, which have been applied in marker-assisted selection of RGMS lines and their temporary maintainers effectively.

Genome-wide identification and evolutionary analysis of WOX gene family in cucurbit crops

Li Chun,He Zhen,Liang Genyun,Yang Nan,Cai Peng,Liang Ying,Li Yuejian,Fang Chao,Liu Duchen,Xia Feng,Liu Xiaojun 한국원예학회 2024 Horticulture, Environment, and Biotechnology Vol.65 No.1

The WUSCHEL-related homeobox (WOX) gene family is essential for plant growth and development. However, the identifi cation and evolutionary analysis of WOX genes in the Cucurbitaceae have not been well investigated. In the present work, we performed a genome-wide analysis to identify WOX genes in eleven cucurbit crops. In total, 127 WOX genes were identifi ed in eleven cucurbit crops, and classifi ed into three diff erent clades: the ancient clade, the intermediate clade and the WUS clade. The same clade has comparable gene organization and conserved motif patterns. The cis -acting ele ment analysis revealed that WOX genes were involved in light, hormone and stress in cucurbit crops. Gene duplication analysis indicated that dispersed duplication and whole genome duplication were the two primary causes of WOX genes expansion. There were 24 and 129 gene pairs found within cucurbit crops, and between Cucumis sativus and other cucur bit crops, respectively. After gene duplication, all WOX genes were subjected to substantial purifying selection pressure according to the selective pressure analysis. Functional divergence analysis revealed that ancient and intermediate clades may have descended from some essential amino acid sites rather than diff erent evolution rate. Our research provides a comprehensive analysis of WOX genes which will be helpful for further research into their function study in Cucurbita ceae plants.