Open AccessA note on common fixed point theorem in Hilbert Space
Author(s) -
Hema Yadav,
Shoyeb Ali Sayyed,
V. H. Badshah
Publication year - 2010
Publication title -
material science research india
Language(s) - English
Resource type - Journals
eISSN - 2394-0565
pISSN - 0973-3469
DOI - 10.13005/msri/070226
Subject(s) - iterated function , mathematics , hilbert space , fixed point , convergence (economics) , space (punctuation) , fixed point theorem , type (biology) , discrete mathematics , pure mathematics , mathematical analysis , computer science , operating system , ecology , economics , biology , economic growth
In this paper the authors studied the problem of Sayyed and Badshah8 and prove common fixed point theorem in Hilbert Space. In recent years Rashwan and Sadik5, Malnge3, Berinde1, Rashwan4, Song and Chen11, Cric, Ume and Khan2 have studied the convergence of iterations to common fixed point for a pair of mappings. Rhoades6-7, proved the mappings T satisfying certain contractive condition, if the sequences of Mann iterates converged it converges to a fixed point of T. Sayyed and Badshah9-10 proved generalized contractive type mapping in Hilbert Space. AMS (2000) Subject Classifications: Primary 47H10, Secondary 54H25
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