Abstract
The paper first proves a characteristic property in FC-spaces. By the use of the connectedness of sets, a parametric type of KKM theorem is then established in noncompact FC-spaces by introducing a linear ordered space. As a consequence, some recent results, such as noncompact minimax inequalities, saddle point theorem, and section theorem, are improved. The results generalize the corresponding results in the literatures.
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(Communicated by Shi-sheng ZHANG)
Project supported by the National Natural Science Foundation of China (No. 10771173) and the Natural Science Foundation Project of CQ CSTC (No. 2005BB2097)
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Deng, L., Zang, Xy. A parametric type of KKM theorem in FC-spaces with applications. Appl. Math. Mech.-Engl. Ed. 30, 73–79 (2009). https://doi.org/10.1007/s10483-009-0108-x
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DOI: https://doi.org/10.1007/s10483-009-0108-x