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Maximal elements and generalized games involving condensing mappings in locally FC-uniform spaces and applications(Ⅰ)

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Applied Mathematics and Mechanics(English Edition) 2007年第12期28卷 1561-1568页

作者：丁协平 College of Mathematics and Software Science Sichuan Normal University

First, the notions of the measure of noncompactness and condensing setvalued mappings are introduced in locally FC-uniform spaces without convexity structure. A new existence theorem of maximal elements of a family of set-valued mappings involving condensing mappings is proved in locally FC-uniform spaces. As applications, some new equilibrium existence theorems of generalized game involving condensing mappings are established in locally FC-uniform spaces. These results improve and generalize some known results in literature to locally FC-uniform spaces. Some further applications of our results to the systems of generalized vector quasi-equilibrium problems will be given in a follow-up paper.

关键词： condensing set-valued mapping maximal element generalized game equi-librium locally FC-uniform spaces

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A Novel Design Strategy for Temperature-Responsive IPN Hydrogels Based on a Copolymer of Acrylamide and N-(1,1-Dimethyl-3-Oxobutyl)-Acrylamide

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Advances in Chemical Engineering and Science 2018年第4期8卷 255-270页

作者： Yu Wang Huifang Xia Jun Zhao Xiuqin Cai Shengke Chen Bengxiu Li School of Chemistry and Materials Sciences Guizhou Education University Guiyang China Anshun Engineering Research Centre of Concrete Admixture Anshun China School of Chemistry and Materials Science Weinan Normal University Weinan China GuizhouTiejinahengfa New Material Technology Co. Ltd. Anshun China

A methology is described for the synthesis of novel temperature-responsive interpenetrating polymer network (IPN) hydrogels with poly(2-acrylamido- 2-methylpropane sulfonic acid) (PAMPS) as a tightly crosslinked 1st network, temperature-responsive poly(acrylamide-co-N-(1,1-dimethyl-3-oxobutyl)- acrylamide) (P(AM-co-DAAM)) with low cost as a lossely crosslinked 2nd network. The structure and morphology of the IPN hydrogels were characterized by FTIR, TGA and SEM, and the results indicated that PAMPS network introduced P(AM-co-DAAM) hydrogels have large, thermally stable and interconnected porous network. The properties of the IPN hydrogels, which include: swelling capacity, equilibrium swelling/deswelling ratio, temperature- responsive behavior, and the dwelling kinetics as specific temperature, were investigated carefully. Results showed that the obtained IPN hydrogels displayed a controllable equilibrium swelling/deswelling behavior and possessed remarkable thermosensitivity. In addition, the results also indicate that the incorporation of the hydrophobic groups DAAM has a big effect on the LCST of the IPN hydrogels. Consequently, these novel temperature-responsive IPN hydrogels with low cost and slow-releasing performance would be promising for potential applications, such as environmental catalysis, water treatment, and agriculture.

关键词： Temperature-Responsive Hydrogel Interpenetrating Polymer Network equi-librium Swelling Ratio Slow-Releasing Performance

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