Open AccessProperties of fixed point set of a multivalued map
Author(s) -
Abdul Rahim Khan
Publication year - 2005
Publication title -
international journal of stochastic analysis
Language(s) - English
Resource type - Journals
eISSN - 2090-3340
pISSN - 2090-3332
DOI - 10.1155/jamsa.2005.323
Subject(s) - mathematics , fixed point , banach space , set (abstract data type) , regular polygon , pure mathematics , fixed point theorem , discrete mathematics , mathematical analysis , geometry , computer science , programming language
Properties of the set of fixed points of some discontinuous multivalued maps in a strictly convex Banach space are studied; in particular, affirmative answers are provided to the questions related to set of fixed points and posed by Ko in 1972 and Xu and Beg in 1998. A result regarding the existence of best approximation is derived
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