In this paper, we define the topological degree for 1-set-contractive fields in PN spaces. Based on this, we obtain some new fixed point theorems for 1-set-contractive operators. As an application, we study the existe...In this paper, we define the topological degree for 1-set-contractive fields in PN spaces. Based on this, we obtain some new fixed point theorems for 1-set-contractive operators. As an application, we study the existence of solutions for a kind of nonlinear Volterra integral equations in Z-M-PN space.展开更多
Based on the topological degree for 1-set-contractive fields established in [11], we discuss the 1-set-contractive perturbation and the existence of zero points for nonlinear equations with accretive mappings in Menge...Based on the topological degree for 1-set-contractive fields established in [11], we discuss the 1-set-contractive perturbation and the existence of zero points for nonlinear equations with accretive mappings in Menger PN-spaces and obtain some new results.展开更多
In this paper, we will prove that Ky Fan’s Theorem (Math. Z. 112(1969), 234-240) is true for 1-set-contractive maps defined on a bounded closed convex subset K in a Banach space with int K≠ . This class of 1-set-con...In this paper, we will prove that Ky Fan’s Theorem (Math. Z. 112(1969), 234-240) is true for 1-set-contractive maps defined on a bounded closed convex subset K in a Banach space with int K≠ . This class of 1-set-contractive maps includes condensing maps, nonexpansive maps, semicontractive maps, LANE maps and others. As applications of our theorems, some fixed point theorems of non-self- maps are proved under various well-known boundary conditions. Our results are generalizations and improvements of the recent results obtained by many authors.展开更多
目的探索酮还原酶家族1成员C3(aldo-keto reductase family 1 member C3,AKR1C3)对乳腺癌恶性细胞生物学行为的干预作用及对程序性细胞死亡蛋白/程序性死亡-配体1(programmed cell death protein1/programmed death-ligand1,PD-1/PD-L)...目的探索酮还原酶家族1成员C3(aldo-keto reductase family 1 member C3,AKR1C3)对乳腺癌恶性细胞生物学行为的干预作用及对程序性细胞死亡蛋白/程序性死亡-配体1(programmed cell death protein1/programmed death-ligand1,PD-1/PD-L)通路的影响。方法把MCF-7人乳腺癌细胞中NC组和AKR1C3组分别转染空质粒和AKR1C3质粒,采用MTT法检测转染后24 h、48 h、72 h细胞活力;采用流式细胞技术测定各组细胞的存活率以及早期、晚期凋亡比例;通过Transwell实验对各组细胞的迁移和侵袭能力进行检测;通过Western blot检测各组细胞PD-1、PD-L1、蛋白激酶B(protein kinase b,AKT)蛋白表达水平。使用C57BL/6小鼠构建荷瘤模型,将采用人乳腺癌MCF-7细胞转染NC质粒和AKR1C3质粒进行细胞荷瘤,每3 d测量瘤体积,持续21 d,绘制两组小鼠肿瘤生长曲线,并于实验终点测量肿瘤质量。结果相较于NC组,AKR1C3组细胞活力降低(P<0.05),并且具有时间依赖效应(P<0.05),迁移和侵袭能力降低(P<0.05),早期凋亡和晚期凋亡比例升高(P<0.05),PD-1、PD-L1、AKT蛋白表达水平降低(P<0.05)。动物实验表明,AKR1C3组小鼠肿瘤体积降低,肿瘤质量下降(P<0.05)。结论AKR1C3可以抑制人乳腺癌细胞恶性生物学行为,抑制PD-1/PDL1信号通路蛋白表达。展开更多
基金Supported by the National Natural Science Foundation of China (10761007)
文摘In this paper, we define the topological degree for 1-set-contractive fields in PN spaces. Based on this, we obtain some new fixed point theorems for 1-set-contractive operators. As an application, we study the existence of solutions for a kind of nonlinear Volterra integral equations in Z-M-PN space.
基金Supported by the National Natural Science Foundation of China(11071108)the Natural Science Foundation of Jiangxi Province of China(2010GZS0147)
文摘Based on the topological degree for 1-set-contractive fields established in [11], we discuss the 1-set-contractive perturbation and the existence of zero points for nonlinear equations with accretive mappings in Menger PN-spaces and obtain some new results.
基金Project supported by the National Natural Science Foundation of ChinaNatural Science Foundation of Shandong Province of China
文摘In this paper, we will prove that Ky Fan’s Theorem (Math. Z. 112(1969), 234-240) is true for 1-set-contractive maps defined on a bounded closed convex subset K in a Banach space with int K≠ . This class of 1-set-contractive maps includes condensing maps, nonexpansive maps, semicontractive maps, LANE maps and others. As applications of our theorems, some fixed point theorems of non-self- maps are proved under various well-known boundary conditions. Our results are generalizations and improvements of the recent results obtained by many authors.
