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KKM property and fixed point theorems in metric spaces
Authors:Chi-Ming Chen
Affiliation:Applied Mathematics, National HsinChu University of Education, Taiwan, ROC
Abstract:In this paper, first part, we establish some fixed point theorems for a k-set contraction map on the nearly-subadmissible subsets of a complete metric space. The second part, we deduce a generalization of the approximate fixed point theorem for the lower semicontinuous mappings on a metric space.
Keywords:Nearly-subadmissible   Almost-subadmissible   k-Set contraction   Lower semicontinuous   KKM property   KKM map   Metric space
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