Open AccessIterative Approximation of a Common Zero of a Countably Infinite Family of -Accretive Operators in Banach Spaces
Author(s) -
E. U. Ofoedu
Publication year - 2008
Publication title -
fixed point theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.826
H-Index - 63
eISSN - 1687-1820
pISSN - 1687-1812
DOI - 10.1155/2008/325792
Subject(s) - mathematics , zero (linguistics) , banach space , differential geometry , countable set , approximation property , banach manifold , pure mathematics , discrete mathematics , lp space , linguistics , philosophy
Let E be a real reflexive and strictly convex Banach space which has a uniformly Gâteaux differentiable norm and C be a closed convex nonempty subset of E. Strong convergence theorems for approximation of a common zero of a countably infinite family of m-accretive mappings from C to E are proved. Consequently, we obtained strong convergence theorems for a countably infinite family of pseudocontractive mappings