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Fixed points for better admissible multifunctions on proximity spaces
Authors:Donal O?Regan
Institution:a Department of Mathematics, National University of Ireland, Galway, Ireland
b Dpto. de Matemática Aplicada, UNED, c/ Juan del Rosal 12, Madrid 28080, Spain
Abstract:We set out a rigorous presentation of Park?s classes of admissible multifunctions and we obtain a fixed point theorem for better admissible multifunctions defined on a proximity space via the Samuel-Smirnov compactification.
Keywords:Multifunction  Fixed point  Park?s class
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