Sufficient and necessary conditions of Ishikawa iterative convergence for finite family asymptotically pseudocontractive mappings
ZHANG Shu-yi
SONG Xiao-guang
WAN Mei-ling
Abstract：Under the condition of removing the restriction φ(t) <t,βn≤αn,and∑∞n=0αn(kn -1) <∞, a sufficient and necessary condition for modified Ishikawa iterative sequences approximations problem of fixed point for finnite family uniformly Lipschitz asymptotically pseudocontractive mappings in real Banach spaces is estab-lished by substituting ∑∞n=0α2n <∞withαn→0( n→∞) , which essentially extend and improve the corresponding results in some references .
Keywords：real Banach spacesfinite family asymptotically pseudocontractive mappingsasymptotically nonexpansive mappingmodified Ishikawa iterative sequensces
Publication Date：2013-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：4( 339-342 )