Let X be a weakly Cauchy normed space in which the parallelogram law holds,C be a bounded closed convex subset of X with one contracting point and T be an{a,b,c}-generalized-nonexpansive mapping from C into C.We prove...Let X be a weakly Cauchy normed space in which the parallelogram law holds,C be a bounded closed convex subset of X with one contracting point and T be an{a,b,c}-generalized-nonexpansive mapping from C into C.We prove that the infimum of the set{‖x-T(x)‖}on C is zero,study some facts concerning the{a,b,c}-generalized-nonexpansive mapping and prove that the asymptotic center of any bounded sequence with respect to C is singleton.Depending on the fact that the{a,b,0}-generalized-nonexpansive mapping from C into C has fixed points,accord-ingly,another version of the Browder's strong convergence theorem for mappings is given.展开更多
中国糖尿病患病率不断攀升,患者超2.33亿,然而,针对心血管疾病和癌症等糖尿病并发症的本土研究缺失。中国心血管代谢与恶性肿瘤队列研究[China Cardiometabolic Disease and Cancer Cohort(4C)Study](基线调查于2011—2012年开展,最新...中国糖尿病患病率不断攀升,患者超2.33亿,然而,针对心血管疾病和癌症等糖尿病并发症的本土研究缺失。中国心血管代谢与恶性肿瘤队列研究[China Cardiometabolic Disease and Cancer Cohort(4C)Study](基线调查于2011—2012年开展,最新随访至2024年)首次系统揭示中国糖尿病患者多种糖尿病并发症结局规律,填补循证空白。本文综述了4C研究的背景、研究方法、研究结果、学术影响和争议,指出了未来的挑战和策略。展开更多
文摘Let X be a weakly Cauchy normed space in which the parallelogram law holds,C be a bounded closed convex subset of X with one contracting point and T be an{a,b,c}-generalized-nonexpansive mapping from C into C.We prove that the infimum of the set{‖x-T(x)‖}on C is zero,study some facts concerning the{a,b,c}-generalized-nonexpansive mapping and prove that the asymptotic center of any bounded sequence with respect to C is singleton.Depending on the fact that the{a,b,0}-generalized-nonexpansive mapping from C into C has fixed points,accord-ingly,another version of the Browder's strong convergence theorem for mappings is given.
文摘中国糖尿病患病率不断攀升,患者超2.33亿,然而,针对心血管疾病和癌症等糖尿病并发症的本土研究缺失。中国心血管代谢与恶性肿瘤队列研究[China Cardiometabolic Disease and Cancer Cohort(4C)Study](基线调查于2011—2012年开展,最新随访至2024年)首次系统揭示中国糖尿病患者多种糖尿病并发症结局规律,填补循证空白。本文综述了4C研究的背景、研究方法、研究结果、学术影响和争议,指出了未来的挑战和策略。
