Nonemptiness and Compactness of Solutions Set for Nondifferentiable Multiobjective Optimization Problems

A nondifferentiable multiobjective optimization problem with nonempty set constraints is considered, and the equivalence of weakly efficient solutions, the critical points for the nondifferentiable multiobjective optimization problems, and solutions for vector variational-like inequalities is established under some suitable conditions. Nonemptiness and compactness of the solutions set for the nondifferentiable multiobjective optimization problems are proved by using the FKKM theorem and a fixed-point theorem

固本益肺汤联合腹针治疗尘肺30例疗效观察

Objective: To observe the clinical effect of Guben Yifei decoction combined with acupoint sticking therapy on pneumoconiosis. Methods: 60 cases of pneumoconiosis with syndrome of deficiency of both lung and kidney were randomly divided into two groups. The two groups were treated with oxygen, anti fibrosis, antiasthmatic, expectorant, and so on for 15 days of a course. In addition to the treatment program of control group, the patients in treatment group were also treated with Guben Yifei decoction (1 doses /d, water decoction) combined with abdominal acupuncture therapy, 1 times /d, for two courses. Observation of patients with cough, sputum, asthma, pulmonary rales and other effects was made and paid attention to symptoms and signs, serum immunoglobulin and changes of blood oxygen saturation before and after the treatment. Results: symptoms, signs disappeared time and healing time, oxygen saturation, serum immunoglobulin were better than the control group (P < 0.05), there was significant difference (P < 0.05). Conclusions: The curative effect of Guben Yifei decoction combined with abdominal acupuncture therapy on pneumoconiosis is remarkable.目的  观察固本益肺汤联合穴位贴敷治疗尘肺的临床疗效。方法  将60例辨证为肺肾两虚型尘肺的患者随机分为两组，两组均予以吸氧，抗纤维化，平喘，化痰等治疗。两组均以15天为1个疗程。治疗组在对照组治疗方案基础上加固本益肺汤治疗，1剂/d，水煎服，同时联合腹针疗法，1次/d，连续治疗两个疗程。观察患者咳嗽、咳痰、喘憋、肺部罗音等疗效，同时观察治疗前后症状、体征、血氧饱和度、血清免疫球蛋白等变化情况。结果  治疗组在症状、体征消失时间及治愈时间、血氧饱和度、血清免疫球蛋白等方面均优于对照组（P＜0.05），两组疗效比较，有显著性差异（P＜0.05）。结果  固本益肺汤联合腹针疗法治疗尘肺疗效显著