1991•OptimizationRequires access
A generalized section theorem and a minimax inequality for a vector-valued mapping1
Guangya Chen
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Abstract
A generalized Fan's section theorem has proposed by replacing convexity assumptions with merely topological properties. A generalized reformulation of Browder's fixed point theorem has derived. The Minimax Inequalities for vector-valued mapping in an ordered Banach space have established without the convexity and with convexity, respectively.