Sufficient and necessary conditions of Ishikawa iterative convergence for finite family asymptotically pseudocontractive mappings
Zhang Shu-y · Journal of Bohai University · 2013
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 established by substituting ∑∞n = 0α2n∞ with αn→0( n→∞),which essentially extend and improve the corresponding results in some references.