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A Fixed Point Theorem and an Equilibrium Point of an Abstract Economy in <Emphasis Type="Italic">H</Emphasis>-spaces
Authors:Email author" target="_blank">Ji-cheng?HouEmail author
Affiliation:(1) Department of Mathematics, Shantou University, Shantou, 515063, China;(2) Department of Mathematics and Information Science, Yantai University, Yantai, 264005, China
Abstract:In this note we first prove a fixed point theorem in H-spaces which unities and extends the corresponding results in 6] and 9]. Then, by applying the fixed point theorem, we prove an existence theorem of an equilibrium point of an abstract economy in H-spaces which improves and generalizes similar result in 4].
Keywords:H-space  fixed points  abstract economy  non-compact domain  Nash equilibria  compactly open lower sections
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