g-η-Monotone mapping and resolvent operator technique for solving generalized implicit variational-like inclusions

A new class of g-η-monotone mappings and a class of generalized implicit variational-like inclusions involving g-η-monotone mappings are introduced. The resolvent operator of g-η-monotone mappings is defined and its Lipschitz continuity is presented, An iterative algorithm for approximating the solutions of generalized implicit wriational- like inclusions is suggested and analyzed. The convergence of iterative sequences generated by the algorithm is also proved,

Approximative Method of Fixed Point for Φ-Pseudocontractive Operator and an Application to Equation with Accretive Operator

In this paper, Φ-pseudo-contractive operators and Φ-accretive operators, more general than the strongly pseudo-contractive operators and strongly accretive operators, are introduced. By setting up a new inequality, authors proved that if ?is a uniformly continuous Φ-pseudo-contractive operator then T has unique fixed point q and the Mann iterative sequence with random errors approximates to q. As an application, the iterative solution of nonlinear equation with Φ-accretive operator is obtained. The results presented in this paper improve and generalize some corresponding results in recent literature.

GPR30介导双酚A促进小鼠GC-1细胞增殖

目的研究环境雌激素双酚A（bisphenol A，BPA）通过G蛋白偶联受体30（Gprotein-coupled receptor 30，GPR30）对小鼠精原细胞系GC-1细胞的影响及发生机制。方法（1）对GC-1细胞分组（分为对照组，BPA＋ICI，BPA＋ICI＋GPR30 siRNA，BPA＋ICI＋AG1478，BPA＋ICI＋PD98059，G-1六个组）进行处理，培养0h，24h，48h，72h，96h后采用MTT比色法检测细胞活力。（2）分别用Gpr30 siRNA沉默Gpr30基因，AG1478阻断EGFR（epidermal growth factor receptor），PD98059阻断ERK（extracellular signal-regulated kinases），然后BPA处理GC-1细胞，5min后Western blot检测ERK-1／-2磷酸化水平和Real-time PCR检测转录因子c-Fos变化程度，48h后检测周期蛋白基因Cyclin D1表达情况。结果与对照组相比，BPA处理组促进GC-1细胞增殖，c-Fos和Cyclin D1基因表达上升（P〈0．05）。细胞在上述三个水平阻断处理后，BPA不引起相应表达差异。结论在小鼠GC-1细胞，BPA诱导GPR30转活EGFR，通过激活MAPK／ERK—c—Fos信号调节，上调周期蛋白基因Cyclin D1表达，促进细胞增殖。