Convergence of the Ishikawa Iteration Process for Nonexpansive Mappings in Hyperspace
Weng-Seng Heng · 2003
Let X be a metric linear space, KC(X) is the collection of all nonempty, compact, convex subsets of X and א be a subset of KC(X). Suppose that T:א→KC(X) be a noncxpansive mapping. Given a sequence [Xn] in א and a recl scquences {tn} satisfying (i) 運算式略 (ii)運算式略 If {Xn} is bounded then lim h(THn, Xn)=0. The theorem generalize the result obtained by Ishikawa.