Open AccessFixed points and their approximations for asymptotically nonexpansive mappings in locally convex spaces
Author(s) -
P. Vijayaraju
Publication year - 1995
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/s0161171295000366
Subject(s) - mathematics , fixed point , iterated function , regular polygon , sequence (biology) , class (philosophy) , pure mathematics , convergence (economics) , fixed point theorem , discrete mathematics , mathematical analysis , geometry , genetics , economic growth , economics , biology , computer science , artificial intelligence
We construct an example that the class of asymptoticallynonexpansive mappings include properly the class of nonexpansive mappingsin locally convex spaces, prove a theorem on the existence of fixedpoints, and the convergence of the sequence of iterates to a fixed pointfor asymptotically nonexpansive mappings in locally convex spaces
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