http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
ON THE EXISTENCE OF SOLUTIONS OF EXTENDED GENERALIZED VARIATIONAL INEQUALITIES IN BANACH SPACES
He, Xin-Feng,Wang, Xian,He, Zhen The Youngnam Mathematical Society 2009 East Asian mathematical journal Vol.25 No.4
In this paper, we study the following extended generalized variational inequality problem, introduced by Noor (for short, EGVI) : Given a closed convex subset K in q-uniformly smooth Banach space B, three nonlinear mappings T : $K\;{\rightarrow}\;B^*$, g : $K\;{\rightarrow}\;K$, h : $K\;{\rightarrow}\;K$ and a vector ${\xi}\;{\in}\;B^*$, find $x\;{\in}\;K$, $h(x)\;{\in}\;K$ such that <Tx-$\xi$, g(y)-h(x)> $\geq$ 0, for all $y\;{\in}\;K$, $g(y)\;{\in}\;K$. [see [2]: M. Aslam Noor, Extended general variational inequalities, Appl. Math. Lett. 22 (2009) 182-186.] By using sunny nonexpansive retraction $Q_K$ and the well-known Banach's fixed point principle, we prove existence results for solutions of (EGVI). Our results extend some recent results from the literature.
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.
PROXIMAL POINTS METHODS FOR GENERALIZED IMPLICIT VARIATIONAL-LIKE INCLUSIONS IN BANACH SPACES
Xin-feng He,Zhen He,Jian Lou 영남수학회 2012 East Asian mathematical journal Vol.28 No.1
In this paper, we study generalized implicit variational-like inclusions and J^n-proximal operator equations in Banach spaces.It is es-tablished that generalized implicit variational-like inclusions in real Ba-nach spaces are equivalent to xed point problems.We also establish a relationship between generalized implicit variational-like inclusions and J^n-proximal operator equations. This equivalence is used to suggest an iterative algorithm for solving J^n-proximal operator equations.
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.
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.
PROXIMAL POINTS METHODS FOR GENERALIZED IMPLICIT VARIATIONAL-LIKE INCLUSIONS IN BANACH SPACES
He, Xin-Feng,Lou, Jian,He, Zhen The Youngnam Mathematical Society 2012 East Asian mathematical journal Vol.28 No.1
In this paper, we study generalized implicit variational-like inclusions and $J^{\eta}$-proximal operator equations in Banach spaces. It is established that generalized implicit variational-like inclusions in real Banach spaces are equivalent to fixed point problems. We also establish relationship between generalized implicit variational-like inclusions and $J^{\eta}$-proximal operator equations. This equivalence is used to suggest a iterative algorithm for solving $J^{\eta}$-proximal operator equations.
On the existence of solutions of extended generalized variational inequalities in Banach spaces
Xin-feng He,Xian Wang,Zhen He 영남수학회 2009 East Asian mathematical journal Vol.25 No.4
In this paper, we study the following extended generalized variational inequality problem, introduced by Noor (for short, EGVI) : Given a closed convex subset K in q-uniformly smooth Banach space B, three nonlinear mappings T :K → B*, g:K → K, h:K → K and a vector ξ ∈ B*, find x ∈ K, h(x) ∈ K such that [수식], for all y ∈ K, g(y)∈K.[see [2]: M. Aslam Noor, Extended general variational inequalities, Appl. Math. Lett. 22 (2009) 182-186.] By using sunny nonexpansive retraction QK and the well-known Banach's fixed point principle, we prove existence results for solutions of (EGVI). Our results extend some recent results from the literature.
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.
Zhi-Xin He,Hai-Tao Yu,Fei He,Ying Xie,Lang Yuan,Ting-Feng Yi 한국공업화학회 2023 Journal of Industrial and Engineering Chemistry Vol.119 No.-
Li-rich layered Li2MoO3 (LMO) materials are one promising cathode materials for Li-ion batteries due totheir high theoretical capacity and without oxygen evolution. However, the poor electrical conductivityand air instability have limited its application as a cathode material for lithium-ion battery. To solve theseproblems, Li2MoO3/g-C3N4 composites were successfully constructed by combining the molten salt andball milling methods. Carbon nitride (g-C3N4) with an abundant nitrogen-containing carbon frameworkcontains a large number of ‘‘hole” defects and double-bonded nitrogen vacancy edges, which are favorablefor the adsorption and diffusion of Li ions. In addition, density functional theory (DFT) calculationsrevealed that a stable interface can be formed between g-C3N4 and LMO, which also leads to the improvementof the electronic conductivity and the reduction of interfacial impedance of the composite. Therefore, the electrochemical performance of the composite material is significantly improved. The dischargecapacity of GLMO-5 at a current density of 1700 mA g1 is 64.6 mAh/g, which is much greater thanthe value (29.9 mAh/g) of the original LMO sample under the same conditions. EIS further shows thatGLMO-5 has the highest discharge capacity with a DLi+ value of 1.94 1014 cm2 s1. These results indicatethat constructing LMO-based composites with a highly stable layered material containing unsaturatedfunctional groups should be an effective strategy to enhance the interfacial stability, electronicconductivity, and thus the electrochemical performances of the cathode materials.
Risk of Treatment-related Mortality with Sorafenib in Patients with Cancer
Zhang, Xin-Ji,Zhang, Tian-Yi,Yu, Fei-Fei,Wei, Xin,Li, Ye-Sheng,Xu, Feng,Wei, Li-Xin,He, Jia Asian Pacific Journal of Cancer Prevention 2013 Asian Pacific journal of cancer prevention Vol.14 No.11
Background: Fatal adverse events (FAEs) have been reported with sorafenib, a vascular endothelial growth factor receptor kinase inhibitor (VEGFR TKI). We here performed an up-to-date and detailed meta-analysis to determine the overall risk of FAEs associated with sorafenib. Methods: Databases, including PubMed, Embase and Web of Science, and abstracts presented at the American Society of Clinical Oncology annual meetings were searched to identify relevant studies. Eligible studies included randomized controlled trials evaluating sorafenib effects in patients with all malignancies. Summary incidence rates, relative risks (RRs), and 95% confidence intervals (CIs) were calculated for FAEs. In addition, subgroup analyses were performed according to tumor type and therapy regimen. Results: 13 trials recruiting 5,546 patients were included in our analysis. The overall incidence of FAEs with sorafenib was 1.99% (95%CI, 0.98-4.02%). Patients treated with sorafenib had a significantly increased risk of FAEs compared with patients treated with control medication, with an RR of 1.77 (95%CI 1.25-2.52, P=0.001). Risk varied with tumour type, but appeared independent of therapy regimen. A significantly increased risk of FAEs was observed in patients with lung cancer (RR 2.26; 95% CI 1.03-4.99; P= 0.043) and renal cancer (RR 1.84; 95% CI 1.15-2.94; P= 0.011). The most common causes of FAEs were hemorrhage (8.6%) and thrombus or embolism (4.9%). Conclusions: It is important for health care practitioners to be aware of the risks of FAEs associated with sorafenib, especially in patients with renal and lung cancer.